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Finding the Third Proportional to 174,334 and 381,833

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Solution

The third proportional to 174,334 and 381,833 is: 836,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,334 : 381,833 = 381,833 : x
  2. Step 2: Convert to fraction form
    174,334/381,833 = 381,833/x
  3. Step 3: Cross multiply
    174,334x = 381,833 × 381,833
  4. Step 4: Simplify right side
    174,334x = 145,796,439,889
  5. Step 5: Solve for x
    x = 145,796,439,889/174,334
  6. Step 6: Final answer
    x = 836,305.25

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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.