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Finding the Third Proportional to 174,249 and 378,001

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Solution

The third proportional to 174,249 and 378,001 is: 820,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,249 : 378,001 = 378,001 : x
  2. Step 2: Convert to fraction form
    174,249/378,001 = 378,001/x
  3. Step 3: Cross multiply
    174,249x = 378,001 × 378,001
  4. Step 4: Simplify right side
    174,249x = 142,884,756,001
  5. Step 5: Solve for x
    x = 142,884,756,001/174,249
  6. Step 6: Final answer
    x = 820,003.31

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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.