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Finding the Third Proportional to 90,750 and 197,245.50

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Solution

The third proportional to 90,750 and 197,245.50 is: 428,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,750 : 197,245.50 = 197,245.50 : x
  2. Step 2: Convert to fraction form
    90,750/197,245.50 = 197,245.50/x
  3. Step 3: Cross multiply
    90,750x = 197,245.50 × 197,245.50
  4. Step 4: Simplify right side
    90,750x = 38,905,787,270.25
  5. Step 5: Solve for x
    x = 38,905,787,270.25/90,750
  6. Step 6: Final answer
    x = 428,713.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.