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Finding the Third Proportional to 174,728 and 239,101

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Solution

The third proportional to 174,728 and 239,101 is: 327,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,728 : 239,101 = 239,101 : x
  2. Step 2: Convert to fraction form
    174,728/239,101 = 239,101/x
  3. Step 3: Cross multiply
    174,728x = 239,101 × 239,101
  4. Step 4: Simplify right side
    174,728x = 57,169,288,201
  5. Step 5: Solve for x
    x = 57,169,288,201/174,728
  6. Step 6: Final answer
    x = 327,190.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.