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Finding the Third Proportional to 83,422 and 183,448

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Solution

The third proportional to 83,422 and 183,448 is: 403,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,422 : 183,448 = 183,448 : x
  2. Step 2: Convert to fraction form
    83,422/183,448 = 183,448/x
  3. Step 3: Cross multiply
    83,422x = 183,448 × 183,448
  4. Step 4: Simplify right side
    83,422x = 33,653,168,704
  5. Step 5: Solve for x
    x = 33,653,168,704/83,422
  6. Step 6: Final answer
    x = 403,408.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.