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Finding the Third Proportional to 84,542 and 196,588

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Solution

The third proportional to 84,542 and 196,588 is: 457,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,542 : 196,588 = 196,588 : x
  2. Step 2: Convert to fraction form
    84,542/196,588 = 196,588/x
  3. Step 3: Cross multiply
    84,542x = 196,588 × 196,588
  4. Step 4: Simplify right side
    84,542x = 38,646,841,744
  5. Step 5: Solve for x
    x = 38,646,841,744/84,542
  6. Step 6: Final answer
    x = 457,131.86

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.