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Finding the Third Proportional to 136,514 and 283,927

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Solution

The third proportional to 136,514 and 283,927 is: 590,522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,514 : 283,927 = 283,927 : x
  2. Step 2: Convert to fraction form
    136,514/283,927 = 283,927/x
  3. Step 3: Cross multiply
    136,514x = 283,927 × 283,927
  4. Step 4: Simplify right side
    136,514x = 80,614,541,329
  5. Step 5: Solve for x
    x = 80,614,541,329/136,514
  6. Step 6: Final answer
    x = 590,522.15

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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.