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Finding the Third Proportional to 148,962 and 324,132

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Solution

The third proportional to 148,962 and 324,132 is: 705,290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,962 : 324,132 = 324,132 : x
  2. Step 2: Convert to fraction form
    148,962/324,132 = 324,132/x
  3. Step 3: Cross multiply
    148,962x = 324,132 × 324,132
  4. Step 4: Simplify right side
    148,962x = 105,061,553,424
  5. Step 5: Solve for x
    x = 105,061,553,424/148,962
  6. Step 6: Final answer
    x = 705,290.97

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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.