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Finding the Third Proportional to 173,263 and 259,189

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Solution

The third proportional to 173,263 and 259,189 is: 387,728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,263 : 259,189 = 259,189 : x
  2. Step 2: Convert to fraction form
    173,263/259,189 = 259,189/x
  3. Step 3: Cross multiply
    173,263x = 259,189 × 259,189
  4. Step 4: Simplify right side
    173,263x = 67,178,937,721
  5. Step 5: Solve for x
    x = 67,178,937,721/173,263
  6. Step 6: Final answer
    x = 387,728.12

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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.