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Finding the Third Proportional to 232,786 and 355,942

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Solution

The third proportional to 232,786 and 355,942 is: 544,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,786 : 355,942 = 355,942 : x
  2. Step 2: Convert to fraction form
    232,786/355,942 = 355,942/x
  3. Step 3: Cross multiply
    232,786x = 355,942 × 355,942
  4. Step 4: Simplify right side
    232,786x = 126,694,707,364
  5. Step 5: Solve for x
    x = 126,694,707,364/232,786
  6. Step 6: Final answer
    x = 544,253.98

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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.