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Finding the Third Proportional to 192,102.75 and 308,656.69

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Solution

The third proportional to 192,102.75 and 308,656.69 is: 495,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,102.75 : 308,656.69 = 308,656.69 : x
  2. Step 2: Convert to fraction form
    192,102.75/308,656.69 = 308,656.69/x
  3. Step 3: Cross multiply
    192,102.75x = 308,656.69 × 308,656.69
  4. Step 4: Simplify right side
    192,102.75x = 95,268,950,738.47
  5. Step 5: Solve for x
    x = 95,268,950,738.47/192,102.75
  6. Step 6: Final answer
    x = 495,927.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.