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Finding the Third Proportional to 174,341 and 378,016

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Solution

The third proportional to 174,341 and 378,016 is: 819,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,341 : 378,016 = 378,016 : x
  2. Step 2: Convert to fraction form
    174,341/378,016 = 378,016/x
  3. Step 3: Cross multiply
    174,341x = 378,016 × 378,016
  4. Step 4: Simplify right side
    174,341x = 142,896,096,256
  5. Step 5: Solve for x
    x = 142,896,096,256/174,341
  6. Step 6: Final answer
    x = 819,635.64

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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.