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Finding the Third Proportional to 149,010 and 324,192

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Solution

The third proportional to 149,010 and 324,192 is: 705,324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,010 : 324,192 = 324,192 : x
  2. Step 2: Convert to fraction form
    149,010/324,192 = 324,192/x
  3. Step 3: Cross multiply
    149,010x = 324,192 × 324,192
  4. Step 4: Simplify right side
    149,010x = 105,100,452,864
  5. Step 5: Solve for x
    x = 105,100,452,864/149,010
  6. Step 6: Final answer
    x = 705,324.83

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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.