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Finding the Third Proportional to 198,452 and 299,501

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Solution

The third proportional to 198,452 and 299,501 is: 452,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,452 : 299,501 = 299,501 : x
  2. Step 2: Convert to fraction form
    198,452/299,501 = 299,501/x
  3. Step 3: Cross multiply
    198,452x = 299,501 × 299,501
  4. Step 4: Simplify right side
    198,452x = 89,700,849,001
  5. Step 5: Solve for x
    x = 89,700,849,001/198,452
  6. Step 6: Final answer
    x = 452,002.75

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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.