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Finding the Third Proportional to 83,271.38 and 178,440.75

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Solution

The third proportional to 83,271.38 and 178,440.75 is: 382,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,271.38 : 178,440.75 = 178,440.75 : x
  2. Step 2: Convert to fraction form
    83,271.38/178,440.75 = 178,440.75/x
  3. Step 3: Cross multiply
    83,271.38x = 178,440.75 × 178,440.75
  4. Step 4: Simplify right side
    83,271.38x = 31,841,101,260.56
  5. Step 5: Solve for x
    x = 31,841,101,260.56/83,271.38
  6. Step 6: Final answer
    x = 382,377.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.