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Finding the Third Proportional to 82,237 and 179,348

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Solution

The third proportional to 82,237 and 179,348 is: 391,134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,237 : 179,348 = 179,348 : x
  2. Step 2: Convert to fraction form
    82,237/179,348 = 179,348/x
  3. Step 3: Cross multiply
    82,237x = 179,348 × 179,348
  4. Step 4: Simplify right side
    82,237x = 32,165,705,104
  5. Step 5: Solve for x
    x = 32,165,705,104/82,237
  6. Step 6: Final answer
    x = 391,134.22

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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.