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Finding the Third Proportional to 180,252 and 280,566

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Solution

The third proportional to 180,252 and 280,566 is: 436,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,252 : 280,566 = 280,566 : x
  2. Step 2: Convert to fraction form
    180,252/280,566 = 280,566/x
  3. Step 3: Cross multiply
    180,252x = 280,566 × 280,566
  4. Step 4: Simplify right side
    180,252x = 78,717,280,356
  5. Step 5: Solve for x
    x = 78,717,280,356/180,252
  6. Step 6: Final answer
    x = 436,706.83

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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.