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Finding the Third Proportional to 159,658.50 and 266,086.13

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Solution

The third proportional to 159,658.50 and 266,086.13 is: 443,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,658.50 : 266,086.13 = 266,086.13 : x
  2. Step 2: Convert to fraction form
    159,658.50/266,086.13 = 266,086.13/x
  3. Step 3: Cross multiply
    159,658.50x = 266,086.13 × 266,086.13
  4. Step 4: Simplify right side
    159,658.50x = 70,801,825,917.52
  5. Step 5: Solve for x
    x = 70,801,825,917.52/159,658.50
  6. Step 6: Final answer
    x = 443,457.92

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.