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Finding the Third Proportional to 143,733 and 195,285

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Solution

The third proportional to 143,733 and 195,285 is: 265,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,733 : 195,285 = 195,285 : x
  2. Step 2: Convert to fraction form
    143,733/195,285 = 195,285/x
  3. Step 3: Cross multiply
    143,733x = 195,285 × 195,285
  4. Step 4: Simplify right side
    143,733x = 38,136,231,225
  5. Step 5: Solve for x
    x = 38,136,231,225/143,733
  6. Step 6: Final answer
    x = 265,326.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.