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Finding the Third Proportional to 83,630 and 180,382

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Solution

The third proportional to 83,630 and 180,382 is: 389,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,630 : 180,382 = 180,382 : x
  2. Step 2: Convert to fraction form
    83,630/180,382 = 180,382/x
  3. Step 3: Cross multiply
    83,630x = 180,382 × 180,382
  4. Step 4: Simplify right side
    83,630x = 32,537,665,924
  5. Step 5: Solve for x
    x = 32,537,665,924/83,630
  6. Step 6: Final answer
    x = 389,066.91

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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.