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Finding the Third Proportional to 146,935 and 218,242

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Solution

The third proportional to 146,935 and 218,242 is: 324,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,935 : 218,242 = 218,242 : x
  2. Step 2: Convert to fraction form
    146,935/218,242 = 218,242/x
  3. Step 3: Cross multiply
    146,935x = 218,242 × 218,242
  4. Step 4: Simplify right side
    146,935x = 47,629,570,564
  5. Step 5: Solve for x
    x = 47,629,570,564/146,935
  6. Step 6: Final answer
    x = 324,154.02

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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.