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Finding the Third Proportional to 143,898 and 225,240

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Solution

The third proportional to 143,898 and 225,240 is: 352,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,898 : 225,240 = 225,240 : x
  2. Step 2: Convert to fraction form
    143,898/225,240 = 225,240/x
  3. Step 3: Cross multiply
    143,898x = 225,240 × 225,240
  4. Step 4: Simplify right side
    143,898x = 50,733,057,600
  5. Step 5: Solve for x
    x = 50,733,057,600/143,898
  6. Step 6: Final answer
    x = 352,562.63

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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.