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Finding the Third Proportional to 180,348 and 281,439

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Solution

The third proportional to 180,348 and 281,439 is: 439,194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,348 : 281,439 = 281,439 : x
  2. Step 2: Convert to fraction form
    180,348/281,439 = 281,439/x
  3. Step 3: Cross multiply
    180,348x = 281,439 × 281,439
  4. Step 4: Simplify right side
    180,348x = 79,207,910,721
  5. Step 5: Solve for x
    x = 79,207,910,721/180,348
  6. Step 6: Final answer
    x = 439,194.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.