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Finding the Third Proportional to 232,731.28 and 355,865.91

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Solution

The third proportional to 232,731.28 and 355,865.91 is: 544,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,731.28 : 355,865.91 = 355,865.91 : x
  2. Step 2: Convert to fraction form
    232,731.28/355,865.91 = 355,865.91/x
  3. Step 3: Cross multiply
    232,731.28x = 355,865.91 × 355,865.91
  4. Step 4: Simplify right side
    232,731.28x = 126,640,543,231.13
  5. Step 5: Solve for x
    x = 126,640,543,231.13/232,731.28
  6. Step 6: Final answer
    x = 544,149.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.