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Finding the Third Proportional to 174,201.75 and 381,619.13

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Solution

The third proportional to 174,201.75 and 381,619.13 is: 836,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,201.75 : 381,619.13 = 381,619.13 : x
  2. Step 2: Convert to fraction form
    174,201.75/381,619.13 = 381,619.13/x
  3. Step 3: Cross multiply
    174,201.75x = 381,619.13 × 381,619.13
  4. Step 4: Simplify right side
    174,201.75x = 145,633,156,565.77
  5. Step 5: Solve for x
    x = 145,633,156,565.77/174,201.75
  6. Step 6: Final answer
    x = 836,002.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.