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Finding the Third Proportional to 158,491 and 232,884

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Solution

The third proportional to 158,491 and 232,884 is: 342,195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,491 : 232,884 = 232,884 : x
  2. Step 2: Convert to fraction form
    158,491/232,884 = 232,884/x
  3. Step 3: Cross multiply
    158,491x = 232,884 × 232,884
  4. Step 4: Simplify right side
    158,491x = 54,234,957,456
  5. Step 5: Solve for x
    x = 54,234,957,456/158,491
  6. Step 6: Final answer
    x = 342,195.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.