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Finding the Third Proportional to 175,405.50 and 378,837

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Solution

The third proportional to 175,405.50 and 378,837 is: 818,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,405.50 : 378,837 = 378,837 : x
  2. Step 2: Convert to fraction form
    175,405.50/378,837 = 378,837/x
  3. Step 3: Cross multiply
    175,405.50x = 378,837 × 378,837
  4. Step 4: Simplify right side
    175,405.50x = 143,517,472,569
  5. Step 5: Solve for x
    x = 143,517,472,569/175,405.50
  6. Step 6: Final answer
    x = 818,203.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.