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Finding the Third Proportional to 147,977 and 231,882

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Solution

The third proportional to 147,977 and 231,882 is: 363,362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,977 : 231,882 = 231,882 : x
  2. Step 2: Convert to fraction form
    147,977/231,882 = 231,882/x
  3. Step 3: Cross multiply
    147,977x = 231,882 × 231,882
  4. Step 4: Simplify right side
    147,977x = 53,769,261,924
  5. Step 5: Solve for x
    x = 53,769,261,924/147,977
  6. Step 6: Final answer
    x = 363,362.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.