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Finding the Third Proportional to 193,152.94 and 419,542.88

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Solution

The third proportional to 193,152.94 and 419,542.88 is: 911,279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,152.94 : 419,542.88 = 419,542.88 : x
  2. Step 2: Convert to fraction form
    193,152.94/419,542.88 = 419,542.88/x
  3. Step 3: Cross multiply
    193,152.94x = 419,542.88 × 419,542.88
  4. Step 4: Simplify right side
    193,152.94x = 176,016,223,963.27
  5. Step 5: Solve for x
    x = 176,016,223,963.27/193,152.94
  6. Step 6: Final answer
    x = 911,279.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.