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Finding the Third Proportional to 175,868.72 and 378,864.84

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Solution

The third proportional to 175,868.72 and 378,864.84 is: 816,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,868.72 : 378,864.84 = 378,864.84 : x
  2. Step 2: Convert to fraction form
    175,868.72/378,864.84 = 378,864.84/x
  3. Step 3: Cross multiply
    175,868.72x = 378,864.84 × 378,864.84
  4. Step 4: Simplify right side
    175,868.72x = 143,538,569,829.71
  5. Step 5: Solve for x
    x = 143,538,569,829.71/175,868.72
  6. Step 6: Final answer
    x = 816,168.85

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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.