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Finding the Third Proportional to 132,250.13 and 284,385

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Solution

The third proportional to 132,250.13 and 284,385 is: 611,529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,250.13 : 284,385 = 284,385 : x
  2. Step 2: Convert to fraction form
    132,250.13/284,385 = 284,385/x
  3. Step 3: Cross multiply
    132,250.13x = 284,385 × 284,385
  4. Step 4: Simplify right side
    132,250.13x = 80,874,828,225
  5. Step 5: Solve for x
    x = 80,874,828,225/132,250.13
  6. Step 6: Final answer
    x = 611,529.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.