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Finding the Third Proportional to 161,708 and 351,686

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Solution

The third proportional to 161,708 and 351,686 is: 764,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,708 : 351,686 = 351,686 : x
  2. Step 2: Convert to fraction form
    161,708/351,686 = 351,686/x
  3. Step 3: Cross multiply
    161,708x = 351,686 × 351,686
  4. Step 4: Simplify right side
    161,708x = 123,683,042,596
  5. Step 5: Solve for x
    x = 123,683,042,596/161,708
  6. Step 6: Final answer
    x = 764,854.20

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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.