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Finding the Third Proportional to 226,024 and 332,124

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Solution

The third proportional to 226,024 and 332,124 is: 488,029.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,024 : 332,124 = 332,124 : x
  2. Step 2: Convert to fraction form
    226,024/332,124 = 332,124/x
  3. Step 3: Cross multiply
    226,024x = 332,124 × 332,124
  4. Step 4: Simplify right side
    226,024x = 110,306,351,376
  5. Step 5: Solve for x
    x = 110,306,351,376/226,024
  6. Step 6: Final answer
    x = 488,029.37

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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.