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Finding the Third Proportional to 132,053.50 and 284,640.50

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Solution

The third proportional to 132,053.50 and 284,640.50 is: 613,540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,053.50 : 284,640.50 = 284,640.50 : x
  2. Step 2: Convert to fraction form
    132,053.50/284,640.50 = 284,640.50/x
  3. Step 3: Cross multiply
    132,053.50x = 284,640.50 × 284,640.50
  4. Step 4: Simplify right side
    132,053.50x = 81,020,214,240.25
  5. Step 5: Solve for x
    x = 81,020,214,240.25/132,053.50
  6. Step 6: Final answer
    x = 613,540.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.