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Finding the Third Proportional to 113,601.66 and 178,245.56

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Solution

The third proportional to 113,601.66 and 178,245.56 is: 279,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,601.66 : 178,245.56 = 178,245.56 : x
  2. Step 2: Convert to fraction form
    113,601.66/178,245.56 = 178,245.56/x
  3. Step 3: Cross multiply
    113,601.66x = 178,245.56 × 178,245.56
  4. Step 4: Simplify right side
    113,601.66x = 31,771,480,550.94
  5. Step 5: Solve for x
    x = 31,771,480,550.94/113,601.66
  6. Step 6: Final answer
    x = 279,674.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.