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Finding the Third Proportional to 198,355.50 and 297,973.13

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Solution

The third proportional to 198,355.50 and 297,973.13 is: 447,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,355.50 : 297,973.13 = 297,973.13 : x
  2. Step 2: Convert to fraction form
    198,355.50/297,973.13 = 297,973.13/x
  3. Step 3: Cross multiply
    198,355.50x = 297,973.13 × 297,973.13
  4. Step 4: Simplify right side
    198,355.50x = 88,787,983,222.27
  5. Step 5: Solve for x
    x = 88,787,983,222.27/198,355.50
  6. Step 6: Final answer
    x = 447,620.48

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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.