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Finding the Third Proportional to 183,610 and 389,090

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Solution

The third proportional to 183,610 and 389,090 is: 824,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,610 : 389,090 = 389,090 : x
  2. Step 2: Convert to fraction form
    183,610/389,090 = 389,090/x
  3. Step 3: Cross multiply
    183,610x = 389,090 × 389,090
  4. Step 4: Simplify right side
    183,610x = 151,391,028,100
  5. Step 5: Solve for x
    x = 151,391,028,100/183,610
  6. Step 6: Final answer
    x = 824,524.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.