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Finding the Third Proportional to 83,084 and 180,188

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Solution

The third proportional to 83,084 and 180,188 is: 390,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,084 : 180,188 = 180,188 : x
  2. Step 2: Convert to fraction form
    83,084/180,188 = 180,188/x
  3. Step 3: Cross multiply
    83,084x = 180,188 × 180,188
  4. Step 4: Simplify right side
    83,084x = 32,467,715,344
  5. Step 5: Solve for x
    x = 32,467,715,344/83,084
  6. Step 6: Final answer
    x = 390,781.80

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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.