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Finding the Third Proportional to 149,498 and 237,734

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Solution

The third proportional to 149,498 and 237,734 is: 378,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,498 : 237,734 = 237,734 : x
  2. Step 2: Convert to fraction form
    149,498/237,734 = 237,734/x
  3. Step 3: Cross multiply
    149,498x = 237,734 × 237,734
  4. Step 4: Simplify right side
    149,498x = 56,517,454,756
  5. Step 5: Solve for x
    x = 56,517,454,756/149,498
  6. Step 6: Final answer
    x = 378,048.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.