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Finding the Third Proportional to 82,234.62 and 176,707.04

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Solution

The third proportional to 82,234.62 and 176,707.04 is: 379,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,234.62 : 176,707.04 = 176,707.04 : x
  2. Step 2: Convert to fraction form
    82,234.62/176,707.04 = 176,707.04/x
  3. Step 3: Cross multiply
    82,234.62x = 176,707.04 × 176,707.04
  4. Step 4: Simplify right side
    82,234.62x = 31,225,376,963.98
  5. Step 5: Solve for x
    x = 31,225,376,963.98/82,234.62
  6. Step 6: Final answer
    x = 379,710.86

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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.