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Finding the Third Proportional to 199,928.25 and 307,212.75

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Solution

The third proportional to 199,928.25 and 307,212.75 is: 472,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,928.25 : 307,212.75 = 307,212.75 : x
  2. Step 2: Convert to fraction form
    199,928.25/307,212.75 = 307,212.75/x
  3. Step 3: Cross multiply
    199,928.25x = 307,212.75 × 307,212.75
  4. Step 4: Simplify right side
    199,928.25x = 94,379,673,762.56
  5. Step 5: Solve for x
    x = 94,379,673,762.56/199,928.25
  6. Step 6: Final answer
    x = 472,067.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.