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Finding the Third Proportional to 146,284 and 218,469

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Solution

The third proportional to 146,284 and 218,469 is: 326,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,284 : 218,469 = 218,469 : x
  2. Step 2: Convert to fraction form
    146,284/218,469 = 218,469/x
  3. Step 3: Cross multiply
    146,284x = 218,469 × 218,469
  4. Step 4: Simplify right side
    146,284x = 47,728,703,961
  5. Step 5: Solve for x
    x = 47,728,703,961/146,284
  6. Step 6: Final answer
    x = 326,274.26

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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.