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Finding the Third Proportional to 132,951.38 and 284,583.38

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Solution

The third proportional to 132,951.38 and 284,583.38 is: 609,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,951.38 : 284,583.38 = 284,583.38 : x
  2. Step 2: Convert to fraction form
    132,951.38/284,583.38 = 284,583.38/x
  3. Step 3: Cross multiply
    132,951.38x = 284,583.38 × 284,583.38
  4. Step 4: Simplify right side
    132,951.38x = 80,987,697,326.39
  5. Step 5: Solve for x
    x = 80,987,697,326.39/132,951.38
  6. Step 6: Final answer
    x = 609,152.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.