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Finding the Third Proportional to 169,138.13 and 260,997.19

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Solution

The third proportional to 169,138.13 and 260,997.19 is: 402,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,138.13 : 260,997.19 = 260,997.19 : x
  2. Step 2: Convert to fraction form
    169,138.13/260,997.19 = 260,997.19/x
  3. Step 3: Cross multiply
    169,138.13x = 260,997.19 × 260,997.19
  4. Step 4: Simplify right side
    169,138.13x = 68,119,531,882.91
  5. Step 5: Solve for x
    x = 68,119,531,882.91/169,138.13
  6. Step 6: Final answer
    x = 402,744.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.