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Finding the Third Proportional to 174,936 and 275,019

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Solution

The third proportional to 174,936 and 275,019 is: 432,360.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,936 : 275,019 = 275,019 : x
  2. Step 2: Convert to fraction form
    174,936/275,019 = 275,019/x
  3. Step 3: Cross multiply
    174,936x = 275,019 × 275,019
  4. Step 4: Simplify right side
    174,936x = 75,635,450,361
  5. Step 5: Solve for x
    x = 75,635,450,361/174,936
  6. Step 6: Final answer
    x = 432,360.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.