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Finding the Third Proportional to 87,252 and 188,433

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Solution

The third proportional to 87,252 and 188,433 is: 406,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,252 : 188,433 = 188,433 : x
  2. Step 2: Convert to fraction form
    87,252/188,433 = 188,433/x
  3. Step 3: Cross multiply
    87,252x = 188,433 × 188,433
  4. Step 4: Simplify right side
    87,252x = 35,506,995,489
  5. Step 5: Solve for x
    x = 35,506,995,489/87,252
  6. Step 6: Final answer
    x = 406,947.64

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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.