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Finding the Third Proportional to 281,167.50 and 449,691.75

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Solution

The third proportional to 281,167.50 and 449,691.75 is: 719,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,167.50 : 449,691.75 = 449,691.75 : x
  2. Step 2: Convert to fraction form
    281,167.50/449,691.75 = 449,691.75/x
  3. Step 3: Cross multiply
    281,167.50x = 449,691.75 × 449,691.75
  4. Step 4: Simplify right side
    281,167.50x = 202,222,670,018.06
  5. Step 5: Solve for x
    x = 202,222,670,018.06/281,167.50
  6. Step 6: Final answer
    x = 719,224.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.