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Finding the Third Proportional to 173,253.94 and 259,174.69

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Solution

The third proportional to 173,253.94 and 259,174.69 is: 387,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,253.94 : 259,174.69 = 259,174.69 : x
  2. Step 2: Convert to fraction form
    173,253.94/259,174.69 = 259,174.69/x
  3. Step 3: Cross multiply
    173,253.94x = 259,174.69 × 259,174.69
  4. Step 4: Simplify right side
    173,253.94x = 67,171,518,640.72
  5. Step 5: Solve for x
    x = 67,171,518,640.72/173,253.94
  6. Step 6: Final answer
    x = 387,705.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.