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Finding the Third Proportional to 140,742.75 and 217,846.03

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Solution

The third proportional to 140,742.75 and 217,846.03 is: 337,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,742.75 : 217,846.03 = 217,846.03 : x
  2. Step 2: Convert to fraction form
    140,742.75/217,846.03 = 217,846.03/x
  3. Step 3: Cross multiply
    140,742.75x = 217,846.03 × 217,846.03
  4. Step 4: Simplify right side
    140,742.75x = 47,456,893,331.38
  5. Step 5: Solve for x
    x = 47,456,893,331.38/140,742.75
  6. Step 6: Final answer
    x = 337,188.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.