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Finding the Third Proportional to 174,252 and 378,008

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Solution

The third proportional to 174,252 and 378,008 is: 820,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,252 : 378,008 = 378,008 : x
  2. Step 2: Convert to fraction form
    174,252/378,008 = 378,008/x
  3. Step 3: Cross multiply
    174,252x = 378,008 × 378,008
  4. Step 4: Simplify right side
    174,252x = 142,890,048,064
  5. Step 5: Solve for x
    x = 142,890,048,064/174,252
  6. Step 6: Final answer
    x = 820,019.56

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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.