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Finding the Third Proportional to 161,707 and 351,683

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Solution

The third proportional to 161,707 and 351,683 is: 764,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,707 : 351,683 = 351,683 : x
  2. Step 2: Convert to fraction form
    161,707/351,683 = 351,683/x
  3. Step 3: Cross multiply
    161,707x = 351,683 × 351,683
  4. Step 4: Simplify right side
    161,707x = 123,680,932,489
  5. Step 5: Solve for x
    x = 123,680,932,489/161,707
  6. Step 6: Final answer
    x = 764,845.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.