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Finding the Third Proportional to 138,193 and 292,993

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Solution

The third proportional to 138,193 and 292,993 is: 621,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,193 : 292,993 = 292,993 : x
  2. Step 2: Convert to fraction form
    138,193/292,993 = 292,993/x
  3. Step 3: Cross multiply
    138,193x = 292,993 × 292,993
  4. Step 4: Simplify right side
    138,193x = 85,844,898,049
  5. Step 5: Solve for x
    x = 85,844,898,049/138,193
  6. Step 6: Final answer
    x = 621,195.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.