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Finding the Third Proportional to 131,438 and 297,977

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Solution

The third proportional to 131,438 and 297,977 is: 675,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,438 : 297,977 = 297,977 : x
  2. Step 2: Convert to fraction form
    131,438/297,977 = 297,977/x
  3. Step 3: Cross multiply
    131,438x = 297,977 × 297,977
  4. Step 4: Simplify right side
    131,438x = 88,790,292,529
  5. Step 5: Solve for x
    x = 88,790,292,529/131,438
  6. Step 6: Final answer
    x = 675,529.85

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.