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Finding the Third Proportional to 175,067.50 and 356,548

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Solution

The third proportional to 175,067.50 and 356,548 is: 726,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,067.50 : 356,548 = 356,548 : x
  2. Step 2: Convert to fraction form
    175,067.50/356,548 = 356,548/x
  3. Step 3: Cross multiply
    175,067.50x = 356,548 × 356,548
  4. Step 4: Simplify right side
    175,067.50x = 127,126,476,304
  5. Step 5: Solve for x
    x = 127,126,476,304/175,067.50
  6. Step 6: Final answer
    x = 726,156.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.