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Finding the Third Proportional to 226,006 and 330,523

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Solution

The third proportional to 226,006 and 330,523 is: 483,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,006 : 330,523 = 330,523 : x
  2. Step 2: Convert to fraction form
    226,006/330,523 = 330,523/x
  3. Step 3: Cross multiply
    226,006x = 330,523 × 330,523
  4. Step 4: Simplify right side
    226,006x = 109,245,453,529
  5. Step 5: Solve for x
    x = 109,245,453,529/226,006
  6. Step 6: Final answer
    x = 483,374.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.