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Finding the Third Proportional to 148,024 and 218,116

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Solution

The third proportional to 148,024 and 218,116 is: 321,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,024 : 218,116 = 218,116 : x
  2. Step 2: Convert to fraction form
    148,024/218,116 = 218,116/x
  3. Step 3: Cross multiply
    148,024x = 218,116 × 218,116
  4. Step 4: Simplify right side
    148,024x = 47,574,589,456
  5. Step 5: Solve for x
    x = 47,574,589,456/148,024
  6. Step 6: Final answer
    x = 321,397.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.