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Finding the Third Proportional to 178,816.50 and 250,625.25

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Solution

The third proportional to 178,816.50 and 250,625.25 is: 351,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,816.50 : 250,625.25 = 250,625.25 : x
  2. Step 2: Convert to fraction form
    178,816.50/250,625.25 = 250,625.25/x
  3. Step 3: Cross multiply
    178,816.50x = 250,625.25 × 250,625.25
  4. Step 4: Simplify right side
    178,816.50x = 62,813,015,937.56
  5. Step 5: Solve for x
    x = 62,813,015,937.56/178,816.50
  6. Step 6: Final answer
    x = 351,270.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.