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Finding the Third Proportional to 138,834 and 295,186

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Solution

The third proportional to 138,834 and 295,186 is: 627,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,834 : 295,186 = 295,186 : x
  2. Step 2: Convert to fraction form
    138,834/295,186 = 295,186/x
  3. Step 3: Cross multiply
    138,834x = 295,186 × 295,186
  4. Step 4: Simplify right side
    138,834x = 87,134,774,596
  5. Step 5: Solve for x
    x = 87,134,774,596/138,834
  6. Step 6: Final answer
    x = 627,618.41

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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.