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Finding the Third Proportional to 135,976 and 294,548

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Solution

The third proportional to 135,976 and 294,548 is: 638,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,976 : 294,548 = 294,548 : x
  2. Step 2: Convert to fraction form
    135,976/294,548 = 294,548/x
  3. Step 3: Cross multiply
    135,976x = 294,548 × 294,548
  4. Step 4: Simplify right side
    135,976x = 86,758,524,304
  5. Step 5: Solve for x
    x = 86,758,524,304/135,976
  6. Step 6: Final answer
    x = 638,042.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.