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Finding the Third Proportional to 173,262.75 and 259,188.75

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Solution

The third proportional to 173,262.75 and 259,188.75 is: 387,727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,262.75 : 259,188.75 = 259,188.75 : x
  2. Step 2: Convert to fraction form
    173,262.75/259,188.75 = 259,188.75/x
  3. Step 3: Cross multiply
    173,262.75x = 259,188.75 × 259,188.75
  4. Step 4: Simplify right side
    173,262.75x = 67,178,808,126.56
  5. Step 5: Solve for x
    x = 67,178,808,126.56/173,262.75
  6. Step 6: Final answer
    x = 387,727.93

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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.