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Finding the Third Proportional to 161,651 and 351,637

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Solution

The third proportional to 161,651 and 351,637 is: 764,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,651 : 351,637 = 351,637 : x
  2. Step 2: Convert to fraction form
    161,651/351,637 = 351,637/x
  3. Step 3: Cross multiply
    161,651x = 351,637 × 351,637
  4. Step 4: Simplify right side
    161,651x = 123,648,579,769
  5. Step 5: Solve for x
    x = 123,648,579,769/161,651
  6. Step 6: Final answer
    x = 764,910.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.