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Finding the Third Proportional to 173,124 and 258,992

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Solution

The third proportional to 173,124 and 258,992 is: 387,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,124 : 258,992 = 258,992 : x
  2. Step 2: Convert to fraction form
    173,124/258,992 = 258,992/x
  3. Step 3: Cross multiply
    173,124x = 258,992 × 258,992
  4. Step 4: Simplify right side
    173,124x = 67,076,856,064
  5. Step 5: Solve for x
    x = 67,076,856,064/173,124
  6. Step 6: Final answer
    x = 387,449.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.