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Finding the Third Proportional to 232,794 and 355,960.50

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Solution

The third proportional to 232,794 and 355,960.50 is: 544,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,794 : 355,960.50 = 355,960.50 : x
  2. Step 2: Convert to fraction form
    232,794/355,960.50 = 355,960.50/x
  3. Step 3: Cross multiply
    232,794x = 355,960.50 × 355,960.50
  4. Step 4: Simplify right side
    232,794x = 126,707,877,560.25
  5. Step 5: Solve for x
    x = 126,707,877,560.25/232,794
  6. Step 6: Final answer
    x = 544,291.85

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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.