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Finding the Third Proportional to 146,211 and 320,349

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Solution

The third proportional to 146,211 and 320,349 is: 701,886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,211 : 320,349 = 320,349 : x
  2. Step 2: Convert to fraction form
    146,211/320,349 = 320,349/x
  3. Step 3: Cross multiply
    146,211x = 320,349 × 320,349
  4. Step 4: Simplify right side
    146,211x = 102,623,481,801
  5. Step 5: Solve for x
    x = 102,623,481,801/146,211
  6. Step 6: Final answer
    x = 701,886.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.