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Finding the Third Proportional to 226,692 and 333,126

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Solution

The third proportional to 226,692 and 333,126 is: 489,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,692 : 333,126 = 333,126 : x
  2. Step 2: Convert to fraction form
    226,692/333,126 = 333,126/x
  3. Step 3: Cross multiply
    226,692x = 333,126 × 333,126
  4. Step 4: Simplify right side
    226,692x = 110,972,931,876
  5. Step 5: Solve for x
    x = 110,972,931,876/226,692
  6. Step 6: Final answer
    x = 489,531.75

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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.