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Finding the Third Proportional to 82,212 and 176,901

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Solution

The third proportional to 82,212 and 176,901 is: 380,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,212 : 176,901 = 176,901 : x
  2. Step 2: Convert to fraction form
    82,212/176,901 = 176,901/x
  3. Step 3: Cross multiply
    82,212x = 176,901 × 176,901
  4. Step 4: Simplify right side
    82,212x = 31,293,963,801
  5. Step 5: Solve for x
    x = 31,293,963,801/82,212
  6. Step 6: Final answer
    x = 380,649.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.