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Finding the Third Proportional to 173,124.75 and 258,997.13

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Solution

The third proportional to 173,124.75 and 258,997.13 is: 387,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,124.75 : 258,997.13 = 258,997.13 : x
  2. Step 2: Convert to fraction form
    173,124.75/258,997.13 = 258,997.13/x
  3. Step 3: Cross multiply
    173,124.75x = 258,997.13 × 258,997.13
  4. Step 4: Simplify right side
    173,124.75x = 67,079,510,758.27
  5. Step 5: Solve for x
    x = 67,079,510,758.27/173,124.75
  6. Step 6: Final answer
    x = 387,463.44

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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.