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Finding the Third Proportional to 82,273 and 178,492

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Solution

The third proportional to 82,273 and 178,492 is: 387,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,273 : 178,492 = 178,492 : x
  2. Step 2: Convert to fraction form
    82,273/178,492 = 178,492/x
  3. Step 3: Cross multiply
    82,273x = 178,492 × 178,492
  4. Step 4: Simplify right side
    82,273x = 31,859,394,064
  5. Step 5: Solve for x
    x = 31,859,394,064/82,273
  6. Step 6: Final answer
    x = 387,239.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.