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Finding the Third Proportional to 226,723 and 342,636

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Solution

The third proportional to 226,723 and 342,636 is: 517,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,723 : 342,636 = 342,636 : x
  2. Step 2: Convert to fraction form
    226,723/342,636 = 342,636/x
  3. Step 3: Cross multiply
    226,723x = 342,636 × 342,636
  4. Step 4: Simplify right side
    226,723x = 117,399,428,496
  5. Step 5: Solve for x
    x = 117,399,428,496/226,723
  6. Step 6: Final answer
    x = 517,809.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.