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Finding the Third Proportional to 143,822 and 225,123

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Solution

The third proportional to 143,822 and 225,123 is: 352,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,822 : 225,123 = 225,123 : x
  2. Step 2: Convert to fraction form
    143,822/225,123 = 225,123/x
  3. Step 3: Cross multiply
    143,822x = 225,123 × 225,123
  4. Step 4: Simplify right side
    143,822x = 50,680,365,129
  5. Step 5: Solve for x
    x = 50,680,365,129/143,822
  6. Step 6: Final answer
    x = 352,382.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.