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Finding the Third Proportional to 174,508 and 276,774

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Solution

The third proportional to 174,508 and 276,774 is: 438,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,508 : 276,774 = 276,774 : x
  2. Step 2: Convert to fraction form
    174,508/276,774 = 276,774/x
  3. Step 3: Cross multiply
    174,508x = 276,774 × 276,774
  4. Step 4: Simplify right side
    174,508x = 76,603,847,076
  5. Step 5: Solve for x
    x = 76,603,847,076/174,508
  6. Step 6: Final answer
    x = 438,970.40

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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.