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Finding the Third Proportional to 192,531 and 417,135

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Solution

The third proportional to 192,531 and 417,135 is: 903,758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,531 : 417,135 = 417,135 : x
  2. Step 2: Convert to fraction form
    192,531/417,135 = 417,135/x
  3. Step 3: Cross multiply
    192,531x = 417,135 × 417,135
  4. Step 4: Simplify right side
    192,531x = 174,001,608,225
  5. Step 5: Solve for x
    x = 174,001,608,225/192,531
  6. Step 6: Final answer
    x = 903,758.92

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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.