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Finding the Third Proportional to 187,687.13 and 283,150.69

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Solution

The third proportional to 187,687.13 and 283,150.69 is: 427,170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,687.13 : 283,150.69 = 283,150.69 : x
  2. Step 2: Convert to fraction form
    187,687.13/283,150.69 = 283,150.69/x
  3. Step 3: Cross multiply
    187,687.13x = 283,150.69 × 283,150.69
  4. Step 4: Simplify right side
    187,687.13x = 80,174,311,831.72
  5. Step 5: Solve for x
    x = 80,174,311,831.72/187,687.13
  6. Step 6: Final answer
    x = 427,170.01

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Why These Related Problems?

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