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Finding the Third Proportional to 173,166 and 259,755

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Solution

The third proportional to 173,166 and 259,755 is: 389,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,166 : 259,755 = 259,755 : x
  2. Step 2: Convert to fraction form
    173,166/259,755 = 259,755/x
  3. Step 3: Cross multiply
    173,166x = 259,755 × 259,755
  4. Step 4: Simplify right side
    173,166x = 67,472,660,025
  5. Step 5: Solve for x
    x = 67,472,660,025/173,166
  6. Step 6: Final answer
    x = 389,641.50

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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.