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Finding the Third Proportional to 174,332.25 and 381,828.94

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Solution

The third proportional to 174,332.25 and 381,828.94 is: 836,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,332.25 : 381,828.94 = 381,828.94 : x
  2. Step 2: Convert to fraction form
    174,332.25/381,828.94 = 381,828.94/x
  3. Step 3: Cross multiply
    174,332.25x = 381,828.94 × 381,828.94
  4. Step 4: Simplify right side
    174,332.25x = 145,793,337,512.38
  5. Step 5: Solve for x
    x = 145,793,337,512.38/174,332.25
  6. Step 6: Final answer
    x = 836,295.85

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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.