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Finding the Third Proportional to 115,437 and 252,258

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Solution

The third proportional to 115,437 and 252,258 is: 551,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,437 : 252,258 = 252,258 : x
  2. Step 2: Convert to fraction form
    115,437/252,258 = 252,258/x
  3. Step 3: Cross multiply
    115,437x = 252,258 × 252,258
  4. Step 4: Simplify right side
    115,437x = 63,634,098,564
  5. Step 5: Solve for x
    x = 63,634,098,564/115,437
  6. Step 6: Final answer
    x = 551,245.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.