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Finding the Third Proportional to 232,846.50 and 355,951.50

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Solution

The third proportional to 232,846.50 and 355,951.50 is: 544,141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,846.50 : 355,951.50 = 355,951.50 : x
  2. Step 2: Convert to fraction form
    232,846.50/355,951.50 = 355,951.50/x
  3. Step 3: Cross multiply
    232,846.50x = 355,951.50 × 355,951.50
  4. Step 4: Simplify right side
    232,846.50x = 126,701,470,352.25
  5. Step 5: Solve for x
    x = 126,701,470,352.25/232,846.50
  6. Step 6: Final answer
    x = 544,141.61

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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.