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Finding the Third Proportional to 158,882 and 232,977

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Solution

The third proportional to 158,882 and 232,977 is: 341,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,882 : 232,977 = 232,977 : x
  2. Step 2: Convert to fraction form
    158,882/232,977 = 232,977/x
  3. Step 3: Cross multiply
    158,882x = 232,977 × 232,977
  4. Step 4: Simplify right side
    158,882x = 54,278,282,529
  5. Step 5: Solve for x
    x = 54,278,282,529/158,882
  6. Step 6: Final answer
    x = 341,626.38

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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.