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Finding the Third Proportional to 148,914 and 324,092

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Solution

The third proportional to 148,914 and 324,092 is: 705,344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,914 : 324,092 = 324,092 : x
  2. Step 2: Convert to fraction form
    148,914/324,092 = 324,092/x
  3. Step 3: Cross multiply
    148,914x = 324,092 × 324,092
  4. Step 4: Simplify right side
    148,914x = 105,035,624,464
  5. Step 5: Solve for x
    x = 105,035,624,464/148,914
  6. Step 6: Final answer
    x = 705,344.19

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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.