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Finding the Third Proportional to 174,832 and 382,496

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Solution

The third proportional to 174,832 and 382,496 is: 836,821.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,832 : 382,496 = 382,496 : x
  2. Step 2: Convert to fraction form
    174,832/382,496 = 382,496/x
  3. Step 3: Cross multiply
    174,832x = 382,496 × 382,496
  4. Step 4: Simplify right side
    174,832x = 146,303,190,016
  5. Step 5: Solve for x
    x = 146,303,190,016/174,832
  6. Step 6: Final answer
    x = 836,821.58

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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.