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Finding the Third Proportional to 174,872 and 270,057

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Solution

The third proportional to 174,872 and 270,057 is: 417,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,872 : 270,057 = 270,057 : x
  2. Step 2: Convert to fraction form
    174,872/270,057 = 270,057/x
  3. Step 3: Cross multiply
    174,872x = 270,057 × 270,057
  4. Step 4: Simplify right side
    174,872x = 72,930,783,249
  5. Step 5: Solve for x
    x = 72,930,783,249/174,872
  6. Step 6: Final answer
    x = 417,052.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.