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Finding the Third Proportional to 177,754.50 and 419,600.25

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Solution

The third proportional to 177,754.50 and 419,600.25 is: 990,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,754.50 : 419,600.25 = 419,600.25 : x
  2. Step 2: Convert to fraction form
    177,754.50/419,600.25 = 419,600.25/x
  3. Step 3: Cross multiply
    177,754.50x = 419,600.25 × 419,600.25
  4. Step 4: Simplify right side
    177,754.50x = 176,064,369,800.06
  5. Step 5: Solve for x
    x = 176,064,369,800.06/177,754.50
  6. Step 6: Final answer
    x = 990,491.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.