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Finding the Third Proportional to 174,771 and 382,250

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Solution

The third proportional to 174,771 and 382,250 is: 836,037.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,771 : 382,250 = 382,250 : x
  2. Step 2: Convert to fraction form
    174,771/382,250 = 382,250/x
  3. Step 3: Cross multiply
    174,771x = 382,250 × 382,250
  4. Step 4: Simplify right side
    174,771x = 146,115,062,500
  5. Step 5: Solve for x
    x = 146,115,062,500/174,771
  6. Step 6: Final answer
    x = 836,037.23

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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.