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Finding the Third Proportional to 227,202.15 and 336,416.41

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Solution

The third proportional to 227,202.15 and 336,416.41 is: 498,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,202.15 : 336,416.41 = 336,416.41 : x
  2. Step 2: Convert to fraction form
    227,202.15/336,416.41 = 336,416.41/x
  3. Step 3: Cross multiply
    227,202.15x = 336,416.41 × 336,416.41
  4. Step 4: Simplify right side
    227,202.15x = 113,176,003,650.67
  5. Step 5: Solve for x
    x = 113,176,003,650.67/227,202.15
  6. Step 6: Final answer
    x = 498,129.10

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.