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Finding the Third Proportional to 173,719.69 and 260,997.19

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Solution

The third proportional to 173,719.69 and 260,997.19 is: 392,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,719.69 : 260,997.19 = 260,997.19 : x
  2. Step 2: Convert to fraction form
    173,719.69/260,997.19 = 260,997.19/x
  3. Step 3: Cross multiply
    173,719.69x = 260,997.19 × 260,997.19
  4. Step 4: Simplify right side
    173,719.69x = 68,119,531,882.91
  5. Step 5: Solve for x
    x = 68,119,531,882.91/173,719.69
  6. Step 6: Final answer
    x = 392,123.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.