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Finding the Third Proportional to 140,662 and 299,775

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Solution

The third proportional to 140,662 and 299,775 is: 638,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,662 : 299,775 = 299,775 : x
  2. Step 2: Convert to fraction form
    140,662/299,775 = 299,775/x
  3. Step 3: Cross multiply
    140,662x = 299,775 × 299,775
  4. Step 4: Simplify right side
    140,662x = 89,865,050,625
  5. Step 5: Solve for x
    x = 89,865,050,625/140,662
  6. Step 6: Final answer
    x = 638,872.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.