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Finding the Third Proportional to 118,826.16 and 264,217.78

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Solution

The third proportional to 118,826.16 and 264,217.78 is: 587,505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,826.16 : 264,217.78 = 264,217.78 : x
  2. Step 2: Convert to fraction form
    118,826.16/264,217.78 = 264,217.78/x
  3. Step 3: Cross multiply
    118,826.16x = 264,217.78 × 264,217.78
  4. Step 4: Simplify right side
    118,826.16x = 69,811,035,928.67
  5. Step 5: Solve for x
    x = 69,811,035,928.67/118,826.16
  6. Step 6: Final answer
    x = 587,505.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.