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Finding the Third Proportional to 143,760 and 195,312

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Solution

The third proportional to 143,760 and 195,312 is: 265,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,760 : 195,312 = 195,312 : x
  2. Step 2: Convert to fraction form
    143,760/195,312 = 195,312/x
  3. Step 3: Cross multiply
    143,760x = 195,312 × 195,312
  4. Step 4: Simplify right side
    143,760x = 38,146,777,344
  5. Step 5: Solve for x
    x = 38,146,777,344/143,760
  6. Step 6: Final answer
    x = 265,350.43

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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.