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Finding the Third Proportional to 148,883 and 324,009

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Solution

The third proportional to 148,883 and 324,009 is: 705,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,883 : 324,009 = 324,009 : x
  2. Step 2: Convert to fraction form
    148,883/324,009 = 324,009/x
  3. Step 3: Cross multiply
    148,883x = 324,009 × 324,009
  4. Step 4: Simplify right side
    148,883x = 104,981,832,081
  5. Step 5: Solve for x
    x = 104,981,832,081/148,883
  6. Step 6: Final answer
    x = 705,129.75

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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.