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Finding the Third Proportional to 192,104 and 308,659

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Solution

The third proportional to 192,104 and 308,659 is: 495,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,104 : 308,659 = 308,659 : x
  2. Step 2: Convert to fraction form
    192,104/308,659 = 308,659/x
  3. Step 3: Cross multiply
    192,104x = 308,659 × 308,659
  4. Step 4: Simplify right side
    192,104x = 95,270,378,281
  5. Step 5: Solve for x
    x = 95,270,378,281/192,104
  6. Step 6: Final answer
    x = 495,931.26

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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.