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Finding the Third Proportional to 197,487.56 and 297,978.75

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Solution

The third proportional to 197,487.56 and 297,978.75 is: 449,604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,487.56 : 297,978.75 = 297,978.75 : x
  2. Step 2: Convert to fraction form
    197,487.56/297,978.75 = 297,978.75/x
  3. Step 3: Cross multiply
    197,487.56x = 297,978.75 × 297,978.75
  4. Step 4: Simplify right side
    197,487.56x = 88,791,335,451.56
  5. Step 5: Solve for x
    x = 88,791,335,451.56/197,487.56
  6. Step 6: Final answer
    x = 449,604.70

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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.