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Finding the Third Proportional to 87,343.31 and 187,296.05

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Solution

The third proportional to 87,343.31 and 187,296.05 is: 401,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,343.31 : 187,296.05 = 187,296.05 : x
  2. Step 2: Convert to fraction form
    87,343.31/187,296.05 = 187,296.05/x
  3. Step 3: Cross multiply
    87,343.31x = 187,296.05 × 187,296.05
  4. Step 4: Simplify right side
    87,343.31x = 35,079,809,175.00
  5. Step 5: Solve for x
    x = 35,079,809,175.00/87,343.31
  6. Step 6: Final answer
    x = 401,631.31

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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.