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Finding the Third Proportional to 135,036.75 and 294,372

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Solution

The third proportional to 135,036.75 and 294,372 is: 641,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,036.75 : 294,372 = 294,372 : x
  2. Step 2: Convert to fraction form
    135,036.75/294,372 = 294,372/x
  3. Step 3: Cross multiply
    135,036.75x = 294,372 × 294,372
  4. Step 4: Simplify right side
    135,036.75x = 86,654,874,384
  5. Step 5: Solve for x
    x = 86,654,874,384/135,036.75
  6. Step 6: Final answer
    x = 641,713.27

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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.