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Finding the Third Proportional to 227,738 and 324,418

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Solution

The third proportional to 227,738 and 324,418 is: 462,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,738 : 324,418 = 324,418 : x
  2. Step 2: Convert to fraction form
    227,738/324,418 = 324,418/x
  3. Step 3: Cross multiply
    227,738x = 324,418 × 324,418
  4. Step 4: Simplify right side
    227,738x = 105,247,038,724
  5. Step 5: Solve for x
    x = 105,247,038,724/227,738
  6. Step 6: Final answer
    x = 462,140.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.