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Finding the Third Proportional to 137,951.50 and 297,033.75

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Solution

The third proportional to 137,951.50 and 297,033.75 is: 639,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,951.50 : 297,033.75 = 297,033.75 : x
  2. Step 2: Convert to fraction form
    137,951.50/297,033.75 = 297,033.75/x
  3. Step 3: Cross multiply
    137,951.50x = 297,033.75 × 297,033.75
  4. Step 4: Simplify right side
    137,951.50x = 88,229,048,639.06
  5. Step 5: Solve for x
    x = 88,229,048,639.06/137,951.50
  6. Step 6: Final answer
    x = 639,565.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.