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Finding the Third Proportional to 198,071.02 and 297,149.20

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Solution

The third proportional to 198,071.02 and 297,149.20 is: 445,787.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,071.02 : 297,149.20 = 297,149.20 : x
  2. Step 2: Convert to fraction form
    198,071.02/297,149.20 = 297,149.20/x
  3. Step 3: Cross multiply
    198,071.02x = 297,149.20 × 297,149.20
  4. Step 4: Simplify right side
    198,071.02x = 88,297,648,917.82
  5. Step 5: Solve for x
    x = 88,297,648,917.82/198,071.02
  6. Step 6: Final answer
    x = 445,787.83

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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.