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Finding the Third Proportional to 268,474.50 and 363,318.75

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Solution

The third proportional to 268,474.50 and 363,318.75 is: 491,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,474.50 : 363,318.75 = 363,318.75 : x
  2. Step 2: Convert to fraction form
    268,474.50/363,318.75 = 363,318.75/x
  3. Step 3: Cross multiply
    268,474.50x = 363,318.75 × 363,318.75
  4. Step 4: Simplify right side
    268,474.50x = 132,000,514,101.56
  5. Step 5: Solve for x
    x = 132,000,514,101.56/268,474.50
  6. Step 6: Final answer
    x = 491,668.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.