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Finding the Third Proportional to 180,566 and 280,902

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Solution

The third proportional to 180,566 and 280,902 is: 436,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,566 : 280,902 = 280,902 : x
  2. Step 2: Convert to fraction form
    180,566/280,902 = 280,902/x
  3. Step 3: Cross multiply
    180,566x = 280,902 × 280,902
  4. Step 4: Simplify right side
    180,566x = 78,905,933,604
  5. Step 5: Solve for x
    x = 78,905,933,604/180,566
  6. Step 6: Final answer
    x = 436,992.20

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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.