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Finding the Third Proportional to 174,514 and 276,782

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Solution

The third proportional to 174,514 and 276,782 is: 438,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,514 : 276,782 = 276,782 : x
  2. Step 2: Convert to fraction form
    174,514/276,782 = 276,782/x
  3. Step 3: Cross multiply
    174,514x = 276,782 × 276,782
  4. Step 4: Simplify right side
    174,514x = 76,608,275,524
  5. Step 5: Solve for x
    x = 76,608,275,524/174,514
  6. Step 6: Final answer
    x = 438,980.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.