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Finding the Third Proportional to 174,466 and 276,712

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Solution

The third proportional to 174,466 and 276,712 is: 438,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,466 : 276,712 = 276,712 : x
  2. Step 2: Convert to fraction form
    174,466/276,712 = 276,712/x
  3. Step 3: Cross multiply
    174,466x = 276,712 × 276,712
  4. Step 4: Simplify right side
    174,466x = 76,569,530,944
  5. Step 5: Solve for x
    x = 76,569,530,944/174,466
  6. Step 6: Final answer
    x = 438,879.39

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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.