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Finding the Third Proportional to 174,920 and 274,992

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Solution

The third proportional to 174,920 and 274,992 is: 432,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,920 : 274,992 = 274,992 : x
  2. Step 2: Convert to fraction form
    174,920/274,992 = 274,992/x
  3. Step 3: Cross multiply
    174,920x = 274,992 × 274,992
  4. Step 4: Simplify right side
    174,920x = 75,620,600,064
  5. Step 5: Solve for x
    x = 75,620,600,064/174,920
  6. Step 6: Final answer
    x = 432,315.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.