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Finding the Third Proportional to 193,135.50 and 416,079

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Solution

The third proportional to 193,135.50 and 416,079 is: 896,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,135.50 : 416,079 = 416,079 : x
  2. Step 2: Convert to fraction form
    193,135.50/416,079 = 416,079/x
  3. Step 3: Cross multiply
    193,135.50x = 416,079 × 416,079
  4. Step 4: Simplify right side
    193,135.50x = 173,121,734,241
  5. Step 5: Solve for x
    x = 173,121,734,241/193,135.50
  6. Step 6: Final answer
    x = 896,374.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.