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Finding the Third Proportional to 226,148 and 332,942

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Solution

The third proportional to 226,148 and 332,942 is: 490,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,148 : 332,942 = 332,942 : x
  2. Step 2: Convert to fraction form
    226,148/332,942 = 332,942/x
  3. Step 3: Cross multiply
    226,148x = 332,942 × 332,942
  4. Step 4: Simplify right side
    226,148x = 110,850,375,364
  5. Step 5: Solve for x
    x = 110,850,375,364/226,148
  6. Step 6: Final answer
    x = 490,167.39

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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.