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Finding the Third Proportional to 135,037.25 and 294,373

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Solution

The third proportional to 135,037.25 and 294,373 is: 641,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,037.25 : 294,373 = 294,373 : x
  2. Step 2: Convert to fraction form
    135,037.25/294,373 = 294,373/x
  3. Step 3: Cross multiply
    135,037.25x = 294,373 × 294,373
  4. Step 4: Simplify right side
    135,037.25x = 86,655,463,129
  5. Step 5: Solve for x
    x = 86,655,463,129/135,037.25
  6. Step 6: Final answer
    x = 641,715.25

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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.