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Finding the Third Proportional to 192,942 and 417,108

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Solution

The third proportional to 192,942 and 417,108 is: 901,717.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,942 : 417,108 = 417,108 : x
  2. Step 2: Convert to fraction form
    192,942/417,108 = 417,108/x
  3. Step 3: Cross multiply
    192,942x = 417,108 × 417,108
  4. Step 4: Simplify right side
    192,942x = 173,979,083,664
  5. Step 5: Solve for x
    x = 173,979,083,664/192,942
  6. Step 6: Final answer
    x = 901,717.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.