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Finding the Third Proportional to 83,105 and 180,304

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Solution

The third proportional to 83,105 and 180,304 is: 391,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,105 : 180,304 = 180,304 : x
  2. Step 2: Convert to fraction form
    83,105/180,304 = 180,304/x
  3. Step 3: Cross multiply
    83,105x = 180,304 × 180,304
  4. Step 4: Simplify right side
    83,105x = 32,509,532,416
  5. Step 5: Solve for x
    x = 32,509,532,416/83,105
  6. Step 6: Final answer
    x = 391,186.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.