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Finding the Third Proportional to 148,108 and 322,496

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Solution

The third proportional to 148,108 and 322,496 is: 702,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,108 : 322,496 = 322,496 : x
  2. Step 2: Convert to fraction form
    148,108/322,496 = 322,496/x
  3. Step 3: Cross multiply
    148,108x = 322,496 × 322,496
  4. Step 4: Simplify right side
    148,108x = 104,003,670,016
  5. Step 5: Solve for x
    x = 104,003,670,016/148,108
  6. Step 6: Final answer
    x = 702,215.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.