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Finding the Third Proportional to 174,452 and 276,686

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Solution

The third proportional to 174,452 and 276,686 is: 438,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,452 : 276,686 = 276,686 : x
  2. Step 2: Convert to fraction form
    174,452/276,686 = 276,686/x
  3. Step 3: Cross multiply
    174,452x = 276,686 × 276,686
  4. Step 4: Simplify right side
    174,452x = 76,555,142,596
  5. Step 5: Solve for x
    x = 76,555,142,596/174,452
  6. Step 6: Final answer
    x = 438,832.13

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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.