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Finding the Third Proportional to 192,107.25 and 308,664

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Solution

The third proportional to 192,107.25 and 308,664 is: 495,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,107.25 : 308,664 = 308,664 : x
  2. Step 2: Convert to fraction form
    192,107.25/308,664 = 308,664/x
  3. Step 3: Cross multiply
    192,107.25x = 308,664 × 308,664
  4. Step 4: Simplify right side
    192,107.25x = 95,273,464,896
  5. Step 5: Solve for x
    x = 95,273,464,896/192,107.25
  6. Step 6: Final answer
    x = 495,938.93

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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.