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Finding the Third Proportional to 138,176 and 286,738

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Solution

The third proportional to 138,176 and 286,738 is: 595,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,176 : 286,738 = 286,738 : x
  2. Step 2: Convert to fraction form
    138,176/286,738 = 286,738/x
  3. Step 3: Cross multiply
    138,176x = 286,738 × 286,738
  4. Step 4: Simplify right side
    138,176x = 82,218,680,644
  5. Step 5: Solve for x
    x = 82,218,680,644/138,176
  6. Step 6: Final answer
    x = 595,028.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.