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Finding the Third Proportional to 232,734 and 355,870

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Solution

The third proportional to 232,734 and 355,870 is: 544,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,734 : 355,870 = 355,870 : x
  2. Step 2: Convert to fraction form
    232,734/355,870 = 355,870/x
  3. Step 3: Cross multiply
    232,734x = 355,870 × 355,870
  4. Step 4: Simplify right side
    232,734x = 126,643,456,900
  5. Step 5: Solve for x
    x = 126,643,456,900/232,734
  6. Step 6: Final answer
    x = 544,155.37

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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.