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Finding the Third Proportional to 174,208 and 381,632

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Solution

The third proportional to 174,208 and 381,632 is: 836,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,208 : 381,632 = 381,632 : x
  2. Step 2: Convert to fraction form
    174,208/381,632 = 381,632/x
  3. Step 3: Cross multiply
    174,208x = 381,632 × 381,632
  4. Step 4: Simplify right side
    174,208x = 145,642,983,424
  5. Step 5: Solve for x
    x = 145,642,983,424/174,208
  6. Step 6: Final answer
    x = 836,029.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.