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Finding the Third Proportional to 182,858 and 291,993

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Solution

The third proportional to 182,858 and 291,993 is: 466,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,858 : 291,993 = 291,993 : x
  2. Step 2: Convert to fraction form
    182,858/291,993 = 291,993/x
  3. Step 3: Cross multiply
    182,858x = 291,993 × 291,993
  4. Step 4: Simplify right side
    182,858x = 85,259,912,049
  5. Step 5: Solve for x
    x = 85,259,912,049/182,858
  6. Step 6: Final answer
    x = 466,262.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.