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Finding the Third Proportional to 198,476 and 297,750

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Solution

The third proportional to 198,476 and 297,750 is: 446,679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,476 : 297,750 = 297,750 : x
  2. Step 2: Convert to fraction form
    198,476/297,750 = 297,750/x
  3. Step 3: Cross multiply
    198,476x = 297,750 × 297,750
  4. Step 4: Simplify right side
    198,476x = 88,655,062,500
  5. Step 5: Solve for x
    x = 88,655,062,500/198,476
  6. Step 6: Final answer
    x = 446,679.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.