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Finding the Third Proportional to 232,737 and 355,875

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Solution

The third proportional to 232,737 and 355,875 is: 544,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,737 : 355,875 = 355,875 : x
  2. Step 2: Convert to fraction form
    232,737/355,875 = 355,875/x
  3. Step 3: Cross multiply
    232,737x = 355,875 × 355,875
  4. Step 4: Simplify right side
    232,737x = 126,647,015,625
  5. Step 5: Solve for x
    x = 126,647,015,625/232,737
  6. Step 6: Final answer
    x = 544,163.65

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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.