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Finding the Third Proportional to 137,834.75 and 296,788.25

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Solution

The third proportional to 137,834.75 and 296,788.25 is: 639,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,834.75 : 296,788.25 = 296,788.25 : x
  2. Step 2: Convert to fraction form
    137,834.75/296,788.25 = 296,788.25/x
  3. Step 3: Cross multiply
    137,834.75x = 296,788.25 × 296,788.25
  4. Step 4: Simplify right side
    137,834.75x = 88,083,265,338.06
  5. Step 5: Solve for x
    x = 88,083,265,338.06/137,834.75
  6. Step 6: Final answer
    x = 639,049.77

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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.