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Finding the Third Proportional to 161,712 and 351,694

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Solution

The third proportional to 161,712 and 351,694 is: 764,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,712 : 351,694 = 351,694 : x
  2. Step 2: Convert to fraction form
    161,712/351,694 = 351,694/x
  3. Step 3: Cross multiply
    161,712x = 351,694 × 351,694
  4. Step 4: Simplify right side
    161,712x = 123,688,669,636
  5. Step 5: Solve for x
    x = 123,688,669,636/161,712
  6. Step 6: Final answer
    x = 764,870.08

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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.