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Finding the Third Proportional to 87,205.50 and 188,349

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Solution

The third proportional to 87,205.50 and 188,349 is: 406,801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,205.50 : 188,349 = 188,349 : x
  2. Step 2: Convert to fraction form
    87,205.50/188,349 = 188,349/x
  3. Step 3: Cross multiply
    87,205.50x = 188,349 × 188,349
  4. Step 4: Simplify right side
    87,205.50x = 35,475,345,801
  5. Step 5: Solve for x
    x = 35,475,345,801/87,205.50
  6. Step 6: Final answer
    x = 406,801.70

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