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Finding the Third Proportional to 232,782 and 355,935

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Solution

The third proportional to 232,782 and 355,935 is: 544,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,782 : 355,935 = 355,935 : x
  2. Step 2: Convert to fraction form
    232,782/355,935 = 355,935/x
  3. Step 3: Cross multiply
    232,782x = 355,935 × 355,935
  4. Step 4: Simplify right side
    232,782x = 126,689,724,225
  5. Step 5: Solve for x
    x = 126,689,724,225/232,782
  6. Step 6: Final answer
    x = 544,241.93

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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.