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Finding the Third Proportional to 140,059.13 and 303,867.70

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Solution

The third proportional to 140,059.13 and 303,867.70 is: 659,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,059.13 : 303,867.70 = 303,867.70 : x
  2. Step 2: Convert to fraction form
    140,059.13/303,867.70 = 303,867.70/x
  3. Step 3: Cross multiply
    140,059.13x = 303,867.70 × 303,867.70
  4. Step 4: Simplify right side
    140,059.13x = 92,335,581,002.46
  5. Step 5: Solve for x
    x = 92,335,581,002.46/140,059.13
  6. Step 6: Final answer
    x = 659,261.44

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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.