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Finding the Third Proportional to 98,694 and 217,080

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Solution

The third proportional to 98,694 and 217,080 is: 477,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,694 : 217,080 = 217,080 : x
  2. Step 2: Convert to fraction form
    98,694/217,080 = 217,080/x
  3. Step 3: Cross multiply
    98,694x = 217,080 × 217,080
  4. Step 4: Simplify right side
    98,694x = 47,123,726,400
  5. Step 5: Solve for x
    x = 47,123,726,400/98,694
  6. Step 6: Final answer
    x = 477,473.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.