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Finding the Third Proportional to 83,784 and 182,344

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Solution

The third proportional to 83,784 and 182,344 is: 396,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,784 : 182,344 = 182,344 : x
  2. Step 2: Convert to fraction form
    83,784/182,344 = 182,344/x
  3. Step 3: Cross multiply
    83,784x = 182,344 × 182,344
  4. Step 4: Simplify right side
    83,784x = 33,249,334,336
  5. Step 5: Solve for x
    x = 33,249,334,336/83,784
  6. Step 6: Final answer
    x = 396,845.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.