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Finding the Third Proportional to 135,037.75 and 294,374

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Solution

The third proportional to 135,037.75 and 294,374 is: 641,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,037.75 : 294,374 = 294,374 : x
  2. Step 2: Convert to fraction form
    135,037.75/294,374 = 294,374/x
  3. Step 3: Cross multiply
    135,037.75x = 294,374 × 294,374
  4. Step 4: Simplify right side
    135,037.75x = 86,656,051,876
  5. Step 5: Solve for x
    x = 86,656,051,876/135,037.75
  6. Step 6: Final answer
    x = 641,717.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.