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Finding the Third Proportional to 135,832 and 296,908

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Solution

The third proportional to 135,832 and 296,908 is: 648,995.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,832 : 296,908 = 296,908 : x
  2. Step 2: Convert to fraction form
    135,832/296,908 = 296,908/x
  3. Step 3: Cross multiply
    135,832x = 296,908 × 296,908
  4. Step 4: Simplify right side
    135,832x = 88,154,360,464
  5. Step 5: Solve for x
    x = 88,154,360,464/135,832
  6. Step 6: Final answer
    x = 648,995.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.