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Finding the Third Proportional to 135,127 and 296,198

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Solution

The third proportional to 135,127 and 296,198 is: 649,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,127 : 296,198 = 296,198 : x
  2. Step 2: Convert to fraction form
    135,127/296,198 = 296,198/x
  3. Step 3: Cross multiply
    135,127x = 296,198 × 296,198
  4. Step 4: Simplify right side
    135,127x = 87,733,255,204
  5. Step 5: Solve for x
    x = 87,733,255,204/135,127
  6. Step 6: Final answer
    x = 649,265.17

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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.