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Finding the Third Proportional to 177,248.25 and 266,002.31

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Solution

The third proportional to 177,248.25 and 266,002.31 is: 399,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,248.25 : 266,002.31 = 266,002.31 : x
  2. Step 2: Convert to fraction form
    177,248.25/266,002.31 = 266,002.31/x
  3. Step 3: Cross multiply
    177,248.25x = 266,002.31 × 266,002.31
  4. Step 4: Simplify right side
    177,248.25x = 70,757,230,255.35
  5. Step 5: Solve for x
    x = 70,757,230,255.35/177,248.25
  6. Step 6: Final answer
    x = 399,198.47

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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.