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Finding the Third Proportional to 226,233 and 497,299.50

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Solution

The third proportional to 226,233 and 497,299.50 is: 1,093,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,233 : 497,299.50 = 497,299.50 : x
  2. Step 2: Convert to fraction form
    226,233/497,299.50 = 497,299.50/x
  3. Step 3: Cross multiply
    226,233x = 497,299.50 × 497,299.50
  4. Step 4: Simplify right side
    226,233x = 247,306,792,700.25
  5. Step 5: Solve for x
    x = 247,306,792,700.25/226,233
  6. Step 6: Final answer
    x = 1,093,150.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.