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Finding the Third Proportional to 252,834,258,172 and 365,301,841,242

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Solution

The third proportional to 252,834,258,172 and 365,301,841,242 is: 527,798,076,809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,834,258,172 : 365,301,841,242 = 365,301,841,242 : x
  2. Step 2: Convert to fraction form
    252,834,258,172/365,301,841,242 = 365,301,841,242/x
  3. Step 3: Cross multiply
    252,834,258,172x = 365,301,841,242 × 365,301,841,242
  4. Step 4: Simplify right side
    252,834,258,172x = 133,445,435,214,795,370,397,696
  5. Step 5: Solve for x
    x = 133,445,435,214,795,370,397,696/252,834,258,172
  6. Step 6: Final answer
    x = 527,798,076,809.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.