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Finding the Third Proportional to 143,770.69 and 225,551.81

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Solution

The third proportional to 143,770.69 and 225,551.81 is: 353,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,770.69 : 225,551.81 = 225,551.81 : x
  2. Step 2: Convert to fraction form
    143,770.69/225,551.81 = 225,551.81/x
  3. Step 3: Cross multiply
    143,770.69x = 225,551.81 × 225,551.81
  4. Step 4: Simplify right side
    143,770.69x = 50,873,620,122.04
  5. Step 5: Solve for x
    x = 50,873,620,122.04/143,770.69
  6. Step 6: Final answer
    x = 353,852.52

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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.