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Finding the Third Proportional to 140,439 and 300,561

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Solution

The third proportional to 140,439 and 300,561 is: 643,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,439 : 300,561 = 300,561 : x
  2. Step 2: Convert to fraction form
    140,439/300,561 = 300,561/x
  3. Step 3: Cross multiply
    140,439x = 300,561 × 300,561
  4. Step 4: Simplify right side
    140,439x = 90,336,914,721
  5. Step 5: Solve for x
    x = 90,336,914,721/140,439
  6. Step 6: Final answer
    x = 643,246.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.