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Finding the Third Proportional to 83,656 and 180,344

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Solution

The third proportional to 83,656 and 180,344 is: 388,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,656 : 180,344 = 180,344 : x
  2. Step 2: Convert to fraction form
    83,656/180,344 = 180,344/x
  3. Step 3: Cross multiply
    83,656x = 180,344 × 180,344
  4. Step 4: Simplify right side
    83,656x = 32,523,958,336
  5. Step 5: Solve for x
    x = 32,523,958,336/83,656
  6. Step 6: Final answer
    x = 388,782.14

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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.