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Finding the Third Proportional to 181,306 and 392,744

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Solution

The third proportional to 181,306 and 392,744 is: 850,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,306 : 392,744 = 392,744 : x
  2. Step 2: Convert to fraction form
    181,306/392,744 = 392,744/x
  3. Step 3: Cross multiply
    181,306x = 392,744 × 392,744
  4. Step 4: Simplify right side
    181,306x = 154,247,849,536
  5. Step 5: Solve for x
    x = 154,247,849,536/181,306
  6. Step 6: Final answer
    x = 850,759.76

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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.