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Finding the Third Proportional to 190,104 and 416,496

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Solution

The third proportional to 190,104 and 416,496 is: 912,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,104 : 416,496 = 416,496 : x
  2. Step 2: Convert to fraction form
    190,104/416,496 = 416,496/x
  3. Step 3: Cross multiply
    190,104x = 416,496 × 416,496
  4. Step 4: Simplify right side
    190,104x = 173,468,918,016
  5. Step 5: Solve for x
    x = 173,468,918,016/190,104
  6. Step 6: Final answer
    x = 912,494.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.