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Finding the Third Proportional to 173,161.50 and 259,044.75

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Solution

The third proportional to 173,161.50 and 259,044.75 is: 387,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,161.50 : 259,044.75 = 259,044.75 : x
  2. Step 2: Convert to fraction form
    173,161.50/259,044.75 = 259,044.75/x
  3. Step 3: Cross multiply
    173,161.50x = 259,044.75 × 259,044.75
  4. Step 4: Simplify right side
    173,161.50x = 67,104,182,502.56
  5. Step 5: Solve for x
    x = 67,104,182,502.56/173,161.50
  6. Step 6: Final answer
    x = 387,523.68

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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.