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Finding the Third Proportional to 187,080.75 and 356,937.75

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Solution

The third proportional to 187,080.75 and 356,937.75 is: 681,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,080.75 : 356,937.75 = 356,937.75 : x
  2. Step 2: Convert to fraction form
    187,080.75/356,937.75 = 356,937.75/x
  3. Step 3: Cross multiply
    187,080.75x = 356,937.75 × 356,937.75
  4. Step 4: Simplify right side
    187,080.75x = 127,404,557,375.06
  5. Step 5: Solve for x
    x = 127,404,557,375.06/187,080.75
  6. Step 6: Final answer
    x = 681,013.72

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.