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Finding the Third Proportional to 143,964 and 225,323

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Solution

The third proportional to 143,964 and 225,323 is: 352,660.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,964 : 225,323 = 225,323 : x
  2. Step 2: Convert to fraction form
    143,964/225,323 = 225,323/x
  3. Step 3: Cross multiply
    143,964x = 225,323 × 225,323
  4. Step 4: Simplify right side
    143,964x = 50,770,454,329
  5. Step 5: Solve for x
    x = 50,770,454,329/143,964
  6. Step 6: Final answer
    x = 352,660.76

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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.