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Finding the Third Proportional to 134,115.75 and 284,218.88

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Solution

The third proportional to 134,115.75 and 284,218.88 is: 602,318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,115.75 : 284,218.88 = 284,218.88 : x
  2. Step 2: Convert to fraction form
    134,115.75/284,218.88 = 284,218.88/x
  3. Step 3: Cross multiply
    134,115.75x = 284,218.88 × 284,218.88
  4. Step 4: Simplify right side
    134,115.75x = 80,780,368,906.27
  5. Step 5: Solve for x
    x = 80,780,368,906.27/134,115.75
  6. Step 6: Final answer
    x = 602,318.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.