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Finding the Third Proportional to 81,436 and 179,216

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Solution

The third proportional to 81,436 and 179,216 is: 394,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,436 : 179,216 = 179,216 : x
  2. Step 2: Convert to fraction form
    81,436/179,216 = 179,216/x
  3. Step 3: Cross multiply
    81,436x = 179,216 × 179,216
  4. Step 4: Simplify right side
    81,436x = 32,118,374,656
  5. Step 5: Solve for x
    x = 32,118,374,656/81,436
  6. Step 6: Final answer
    x = 394,400.20

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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.