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Finding the Third Proportional to 138,530 and 208,731

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Solution

The third proportional to 138,530 and 208,731 is: 314,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,530 : 208,731 = 208,731 : x
  2. Step 2: Convert to fraction form
    138,530/208,731 = 208,731/x
  3. Step 3: Cross multiply
    138,530x = 208,731 × 208,731
  4. Step 4: Simplify right side
    138,530x = 43,568,630,361
  5. Step 5: Solve for x
    x = 43,568,630,361/138,530
  6. Step 6: Final answer
    x = 314,506.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.