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Finding the Third Proportional to 123,613.50 and 266,424

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Solution

The third proportional to 123,613.50 and 266,424 is: 574,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,613.50 : 266,424 = 266,424 : x
  2. Step 2: Convert to fraction form
    123,613.50/266,424 = 266,424/x
  3. Step 3: Cross multiply
    123,613.50x = 266,424 × 266,424
  4. Step 4: Simplify right side
    123,613.50x = 70,981,747,776
  5. Step 5: Solve for x
    x = 70,981,747,776/123,613.50
  6. Step 6: Final answer
    x = 574,223.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.