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Finding the Third Proportional to 141,986 and 291,244

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Solution

The third proportional to 141,986 and 291,244 is: 597,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,986 : 291,244 = 291,244 : x
  2. Step 2: Convert to fraction form
    141,986/291,244 = 291,244/x
  3. Step 3: Cross multiply
    141,986x = 291,244 × 291,244
  4. Step 4: Simplify right side
    141,986x = 84,823,067,536
  5. Step 5: Solve for x
    x = 84,823,067,536/141,986
  6. Step 6: Final answer
    x = 597,404.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.