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Finding the Third Proportional to 192,127 and 276,727

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Solution

The third proportional to 192,127 and 276,727 is: 398,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,127 : 276,727 = 276,727 : x
  2. Step 2: Convert to fraction form
    192,127/276,727 = 276,727/x
  3. Step 3: Cross multiply
    192,127x = 276,727 × 276,727
  4. Step 4: Simplify right side
    192,127x = 76,577,832,529
  5. Step 5: Solve for x
    x = 76,577,832,529/192,127
  6. Step 6: Final answer
    x = 398,579.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.