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Finding the Third Proportional to 193,182.75 and 419,600.25

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Solution

The third proportional to 193,182.75 and 419,600.25 is: 911,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,182.75 : 419,600.25 = 419,600.25 : x
  2. Step 2: Convert to fraction form
    193,182.75/419,600.25 = 419,600.25/x
  3. Step 3: Cross multiply
    193,182.75x = 419,600.25 × 419,600.25
  4. Step 4: Simplify right side
    193,182.75x = 176,064,369,800.06
  5. Step 5: Solve for x
    x = 176,064,369,800.06/193,182.75
  6. Step 6: Final answer
    x = 911,387.64

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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.