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Finding the Third Proportional to 146,570 and 218,992

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Solution

The third proportional to 146,570 and 218,992 is: 327,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,570 : 218,992 = 218,992 : x
  2. Step 2: Convert to fraction form
    146,570/218,992 = 218,992/x
  3. Step 3: Cross multiply
    146,570x = 218,992 × 218,992
  4. Step 4: Simplify right side
    146,570x = 47,957,496,064
  5. Step 5: Solve for x
    x = 47,957,496,064/146,570
  6. Step 6: Final answer
    x = 327,198.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.