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Finding the Third Proportional to 174,664 and 270,531

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Solution

The third proportional to 174,664 and 270,531 is: 419,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,664 : 270,531 = 270,531 : x
  2. Step 2: Convert to fraction form
    174,664/270,531 = 270,531/x
  3. Step 3: Cross multiply
    174,664x = 270,531 × 270,531
  4. Step 4: Simplify right side
    174,664x = 73,187,021,961
  5. Step 5: Solve for x
    x = 73,187,021,961/174,664
  6. Step 6: Final answer
    x = 419,016.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.