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Finding the Third Proportional to 82,244.25 and 179,361

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Solution

The third proportional to 82,244.25 and 179,361 is: 391,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,244.25 : 179,361 = 179,361 : x
  2. Step 2: Convert to fraction form
    82,244.25/179,361 = 179,361/x
  3. Step 3: Cross multiply
    82,244.25x = 179,361 × 179,361
  4. Step 4: Simplify right side
    82,244.25x = 32,170,368,321
  5. Step 5: Solve for x
    x = 32,170,368,321/82,244.25
  6. Step 6: Final answer
    x = 391,156.44

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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.