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Finding the Third Proportional to 197,425.50 and 297,915

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Solution

The third proportional to 197,425.50 and 297,915 is: 449,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,425.50 : 297,915 = 297,915 : x
  2. Step 2: Convert to fraction form
    197,425.50/297,915 = 297,915/x
  3. Step 3: Cross multiply
    197,425.50x = 297,915 × 297,915
  4. Step 4: Simplify right side
    197,425.50x = 88,753,347,225
  5. Step 5: Solve for x
    x = 88,753,347,225/197,425.50
  6. Step 6: Final answer
    x = 449,553.62

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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.