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Finding the Third Proportional to 83,463 and 180,291

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Solution

The third proportional to 83,463 and 180,291 is: 389,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,463 : 180,291 = 180,291 : x
  2. Step 2: Convert to fraction form
    83,463/180,291 = 180,291/x
  3. Step 3: Cross multiply
    83,463x = 180,291 × 180,291
  4. Step 4: Simplify right side
    83,463x = 32,504,844,681
  5. Step 5: Solve for x
    x = 32,504,844,681/83,463
  6. Step 6: Final answer
    x = 389,452.15

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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.