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Finding the Third Proportional to 137,314 and 300,872

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Solution

The third proportional to 137,314 and 300,872 is: 659,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,314 : 300,872 = 300,872 : x
  2. Step 2: Convert to fraction form
    137,314/300,872 = 300,872/x
  3. Step 3: Cross multiply
    137,314x = 300,872 × 300,872
  4. Step 4: Simplify right side
    137,314x = 90,523,960,384
  5. Step 5: Solve for x
    x = 90,523,960,384/137,314
  6. Step 6: Final answer
    x = 659,247.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.