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Finding the Third Proportional to 218,352 and 280,872

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Solution

The third proportional to 218,352 and 280,872 is: 361,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,352 : 280,872 = 280,872 : x
  2. Step 2: Convert to fraction form
    218,352/280,872 = 280,872/x
  3. Step 3: Cross multiply
    218,352x = 280,872 × 280,872
  4. Step 4: Simplify right side
    218,352x = 78,889,080,384
  5. Step 5: Solve for x
    x = 78,889,080,384/218,352
  6. Step 6: Final answer
    x = 361,293.14

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.