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Finding the Third Proportional to 198,542 and 428,186

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Solution

The third proportional to 198,542 and 428,186 is: 923,448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,542 : 428,186 = 428,186 : x
  2. Step 2: Convert to fraction form
    198,542/428,186 = 428,186/x
  3. Step 3: Cross multiply
    198,542x = 428,186 × 428,186
  4. Step 4: Simplify right side
    198,542x = 183,343,250,596
  5. Step 5: Solve for x
    x = 183,343,250,596/198,542
  6. Step 6: Final answer
    x = 923,448.19

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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.