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Finding the Third Proportional to 232,788.94 and 355,951.97

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Solution

The third proportional to 232,788.94 and 355,951.97 is: 544,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,788.94 : 355,951.97 = 355,951.97 : x
  2. Step 2: Convert to fraction form
    232,788.94/355,951.97 = 355,951.97/x
  3. Step 3: Cross multiply
    232,788.94x = 355,951.97 × 355,951.97
  4. Step 4: Simplify right side
    232,788.94x = 126,701,804,057.00
  5. Step 5: Solve for x
    x = 126,701,804,057.00/232,788.94
  6. Step 6: Final answer
    x = 544,277.60

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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.