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Finding the Third Proportional to 83,814 and 180,696

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Solution

The third proportional to 83,814 and 180,696 is: 389,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,814 : 180,696 = 180,696 : x
  2. Step 2: Convert to fraction form
    83,814/180,696 = 180,696/x
  3. Step 3: Cross multiply
    83,814x = 180,696 × 180,696
  4. Step 4: Simplify right side
    83,814x = 32,651,044,416
  5. Step 5: Solve for x
    x = 32,651,044,416/83,814
  6. Step 6: Final answer
    x = 389,565.52

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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.