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Finding the Third Proportional to 232,731.75 and 355,866.56

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Solution

The third proportional to 232,731.75 and 355,866.56 is: 544,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,731.75 : 355,866.56 = 355,866.56 : x
  2. Step 2: Convert to fraction form
    232,731.75/355,866.56 = 355,866.56/x
  3. Step 3: Cross multiply
    232,731.75x = 355,866.56 × 355,866.56
  4. Step 4: Simplify right side
    232,731.75x = 126,641,010,305.57
  5. Step 5: Solve for x
    x = 126,641,010,305.57/232,731.75
  6. Step 6: Final answer
    x = 544,150.12

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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.