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Finding the Third Proportional to 143,818 and 225,116

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Solution

The third proportional to 143,818 and 225,116 is: 352,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,818 : 225,116 = 225,116 : x
  2. Step 2: Convert to fraction form
    143,818/225,116 = 225,116/x
  3. Step 3: Cross multiply
    143,818x = 225,116 × 225,116
  4. Step 4: Simplify right side
    143,818x = 50,677,213,456
  5. Step 5: Solve for x
    x = 50,677,213,456/143,818
  6. Step 6: Final answer
    x = 352,370.45

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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.