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Finding the Third Proportional to 192,525 and 417,126

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Solution

The third proportional to 192,525 and 417,126 is: 903,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,525 : 417,126 = 417,126 : x
  2. Step 2: Convert to fraction form
    192,525/417,126 = 417,126/x
  3. Step 3: Cross multiply
    192,525x = 417,126 × 417,126
  4. Step 4: Simplify right side
    192,525x = 173,994,099,876
  5. Step 5: Solve for x
    x = 173,994,099,876/192,525
  6. Step 6: Final answer
    x = 903,748.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.