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Finding the Third Proportional to 83,451 and 180,328

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Solution

The third proportional to 83,451 and 180,328 is: 389,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,451 : 180,328 = 180,328 : x
  2. Step 2: Convert to fraction form
    83,451/180,328 = 180,328/x
  3. Step 3: Cross multiply
    83,451x = 180,328 × 180,328
  4. Step 4: Simplify right side
    83,451x = 32,518,187,584
  5. Step 5: Solve for x
    x = 32,518,187,584/83,451
  6. Step 6: Final answer
    x = 389,668.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.