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Finding the Third Proportional to 177,834.38 and 266,758.31

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Solution

The third proportional to 177,834.38 and 266,758.31 is: 400,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,834.38 : 266,758.31 = 266,758.31 : x
  2. Step 2: Convert to fraction form
    177,834.38/266,758.31 = 266,758.31/x
  3. Step 3: Cross multiply
    177,834.38x = 266,758.31 × 266,758.31
  4. Step 4: Simplify right side
    177,834.38x = 71,159,997,287.85
  5. Step 5: Solve for x
    x = 71,159,997,287.85/177,834.38
  6. Step 6: Final answer
    x = 400,147.59

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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.