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Finding the Third Proportional to 87.33 and 183.52

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Solution

The third proportional to 87.33 and 183.52 is: 385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.33 : 183.52 = 183.52 : x
  2. Step 2: Convert to fraction form
    87.33/183.52 = 183.52/x
  3. Step 3: Cross multiply
    87.33x = 183.52 × 183.52
  4. Step 4: Simplify right side
    87.33x = 33,677.98
  5. Step 5: Solve for x
    x = 33,677.98/87.33
  6. Step 6: Final answer
    x = 385.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.