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Finding the Third Proportional to 148,921 and 324,612

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Solution

The third proportional to 148,921 and 324,612 is: 707,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,921 : 324,612 = 324,612 : x
  2. Step 2: Convert to fraction form
    148,921/324,612 = 324,612/x
  3. Step 3: Cross multiply
    148,921x = 324,612 × 324,612
  4. Step 4: Simplify right side
    148,921x = 105,372,950,544
  5. Step 5: Solve for x
    x = 105,372,950,544/148,921
  6. Step 6: Final answer
    x = 707,576.17

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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.