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Finding the Third Proportional to 118,222.03 and 178,559.44

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Solution

The third proportional to 118,222.03 and 178,559.44 is: 269,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,222.03 : 178,559.44 = 178,559.44 : x
  2. Step 2: Convert to fraction form
    118,222.03/178,559.44 = 178,559.44/x
  3. Step 3: Cross multiply
    118,222.03x = 178,559.44 × 178,559.44
  4. Step 4: Simplify right side
    118,222.03x = 31,883,472,720.32
  5. Step 5: Solve for x
    x = 31,883,472,720.32/118,222.03
  6. Step 6: Final answer
    x = 269,691.46

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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.