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Finding the Third Proportional to 82,424.25 and 180,680.63

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Solution

The third proportional to 82,424.25 and 180,680.63 is: 396,066.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,424.25 : 180,680.63 = 180,680.63 : x
  2. Step 2: Convert to fraction form
    82,424.25/180,680.63 = 180,680.63/x
  3. Step 3: Cross multiply
    82,424.25x = 180,680.63 × 180,680.63
  4. Step 4: Simplify right side
    82,424.25x = 32,645,488,250.39
  5. Step 5: Solve for x
    x = 32,645,488,250.39/82,424.25
  6. Step 6: Final answer
    x = 396,066.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.