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Finding the Third Proportional to 146,922 and 218,223

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Solution

The third proportional to 146,922 and 218,223 is: 324,126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,922 : 218,223 = 218,223 : x
  2. Step 2: Convert to fraction form
    146,922/218,223 = 218,223/x
  3. Step 3: Cross multiply
    146,922x = 218,223 × 218,223
  4. Step 4: Simplify right side
    146,922x = 47,621,277,729
  5. Step 5: Solve for x
    x = 47,621,277,729/146,922
  6. Step 6: Final answer
    x = 324,126.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.