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Finding the Third Proportional to 198,301.50 and 297,892.13

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Solution

The third proportional to 198,301.50 and 297,892.13 is: 447,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,301.50 : 297,892.13 = 297,892.13 : x
  2. Step 2: Convert to fraction form
    198,301.50/297,892.13 = 297,892.13/x
  3. Step 3: Cross multiply
    198,301.50x = 297,892.13 × 297,892.13
  4. Step 4: Simplify right side
    198,301.50x = 88,739,718,137.02
  5. Step 5: Solve for x
    x = 88,739,718,137.02/198,301.50
  6. Step 6: Final answer
    x = 447,498.98

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Why These Related Problems?

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