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Finding the Third Proportional to 146,348 and 218,896

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Solution

The third proportional to 146,348 and 218,896 is: 327,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,348 : 218,896 = 218,896 : x
  2. Step 2: Convert to fraction form
    146,348/218,896 = 218,896/x
  3. Step 3: Cross multiply
    146,348x = 218,896 × 218,896
  4. Step 4: Simplify right side
    146,348x = 47,915,458,816
  5. Step 5: Solve for x
    x = 47,915,458,816/146,348
  6. Step 6: Final answer
    x = 327,407.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.