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Finding the Third Proportional to 232,398 and 355,275

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Solution

The third proportional to 232,398 and 355,275 is: 543,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,398 : 355,275 = 355,275 : x
  2. Step 2: Convert to fraction form
    232,398/355,275 = 355,275/x
  3. Step 3: Cross multiply
    232,398x = 355,275 × 355,275
  4. Step 4: Simplify right side
    232,398x = 126,220,325,625
  5. Step 5: Solve for x
    x = 126,220,325,625/232,398
  6. Step 6: Final answer
    x = 543,121.39

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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.