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Finding the Third Proportional to 198,542 and 424,786

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Solution

The third proportional to 198,542 and 424,786 is: 908,841.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,542 : 424,786 = 424,786 : x
  2. Step 2: Convert to fraction form
    198,542/424,786 = 424,786/x
  3. Step 3: Cross multiply
    198,542x = 424,786 × 424,786
  4. Step 4: Simplify right side
    198,542x = 180,443,145,796
  5. Step 5: Solve for x
    x = 180,443,145,796/198,542
  6. Step 6: Final answer
    x = 908,841.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.