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Finding the Third Proportional to 172,071.84 and 369,046.97

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Solution

The third proportional to 172,071.84 and 369,046.97 is: 791,504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,071.84 : 369,046.97 = 369,046.97 : x
  2. Step 2: Convert to fraction form
    172,071.84/369,046.97 = 369,046.97/x
  3. Step 3: Cross multiply
    172,071.84x = 369,046.97 × 369,046.97
  4. Step 4: Simplify right side
    172,071.84x = 136,195,665,143.56
  5. Step 5: Solve for x
    x = 136,195,665,143.56/172,071.84
  6. Step 6: Final answer
    x = 791,504.65

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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.