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Finding the Third Proportional to 148,108 and 320,828

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Solution

The third proportional to 148,108 and 320,828 is: 694,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,108 : 320,828 = 320,828 : x
  2. Step 2: Convert to fraction form
    148,108/320,828 = 320,828/x
  3. Step 3: Cross multiply
    148,108x = 320,828 × 320,828
  4. Step 4: Simplify right side
    148,108x = 102,930,605,584
  5. Step 5: Solve for x
    x = 102,930,605,584/148,108
  6. Step 6: Final answer
    x = 694,969.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.