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Finding the Third Proportional to 135,832 and 289,184

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Solution

The third proportional to 135,832 and 289,184 is: 615,667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,832 : 289,184 = 289,184 : x
  2. Step 2: Convert to fraction form
    135,832/289,184 = 289,184/x
  3. Step 3: Cross multiply
    135,832x = 289,184 × 289,184
  4. Step 4: Simplify right side
    135,832x = 83,627,385,856
  5. Step 5: Solve for x
    x = 83,627,385,856/135,832
  6. Step 6: Final answer
    x = 615,667.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.