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Finding the Third Proportional to 192,110 and 308,669

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Solution

The third proportional to 192,110 and 308,669 is: 495,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,110 : 308,669 = 308,669 : x
  2. Step 2: Convert to fraction form
    192,110/308,669 = 308,669/x
  3. Step 3: Cross multiply
    192,110x = 308,669 × 308,669
  4. Step 4: Simplify right side
    192,110x = 95,276,551,561
  5. Step 5: Solve for x
    x = 95,276,551,561/192,110
  6. Step 6: Final answer
    x = 495,947.90

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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.