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Finding the Third Proportional to 187,642.13 and 283,087.13

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Solution

The third proportional to 187,642.13 and 283,087.13 is: 427,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,642.13 : 283,087.13 = 283,087.13 : x
  2. Step 2: Convert to fraction form
    187,642.13/283,087.13 = 283,087.13/x
  3. Step 3: Cross multiply
    187,642.13x = 283,087.13 × 283,087.13
  4. Step 4: Simplify right side
    187,642.13x = 80,138,320,340.77
  5. Step 5: Solve for x
    x = 80,138,320,340.77/187,642.13
  6. Step 6: Final answer
    x = 427,080.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.