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Finding the Third Proportional to 198,597 and 299,750

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Solution

The third proportional to 198,597 and 299,750 is: 452,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,597 : 299,750 = 299,750 : x
  2. Step 2: Convert to fraction form
    198,597/299,750 = 299,750/x
  3. Step 3: Cross multiply
    198,597x = 299,750 × 299,750
  4. Step 4: Simplify right side
    198,597x = 89,850,062,500
  5. Step 5: Solve for x
    x = 89,850,062,500/198,597
  6. Step 6: Final answer
    x = 452,424.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.