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Finding the Third Proportional to 180,522 and 280,651

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Solution

The third proportional to 180,522 and 280,651 is: 436,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,522 : 280,651 = 280,651 : x
  2. Step 2: Convert to fraction form
    180,522/280,651 = 280,651/x
  3. Step 3: Cross multiply
    180,522x = 280,651 × 280,651
  4. Step 4: Simplify right side
    180,522x = 78,764,983,801
  5. Step 5: Solve for x
    x = 78,764,983,801/180,522
  6. Step 6: Final answer
    x = 436,317.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.