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Finding the Third Proportional to 173,266 and 259,193.75

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Solution

The third proportional to 173,266 and 259,193.75 is: 387,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,266 : 259,193.75 = 259,193.75 : x
  2. Step 2: Convert to fraction form
    173,266/259,193.75 = 259,193.75/x
  3. Step 3: Cross multiply
    173,266x = 259,193.75 × 259,193.75
  4. Step 4: Simplify right side
    173,266x = 67,181,400,039.06
  5. Step 5: Solve for x
    x = 67,181,400,039.06/173,266
  6. Step 6: Final answer
    x = 387,735.62

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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.