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Finding the Third Proportional to 226,408.50 and 306,397.69

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Solution

The third proportional to 226,408.50 and 306,397.69 is: 414,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,408.50 : 306,397.69 = 306,397.69 : x
  2. Step 2: Convert to fraction form
    226,408.50/306,397.69 = 306,397.69/x
  3. Step 3: Cross multiply
    226,408.50x = 306,397.69 × 306,397.69
  4. Step 4: Simplify right side
    226,408.50x = 93,879,542,905.35
  5. Step 5: Solve for x
    x = 93,879,542,905.35/226,408.50
  6. Step 6: Final answer
    x = 414,646.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.