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Finding the Third Proportional to 175,266 and 381,844

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Solution

The third proportional to 175,266 and 381,844 is: 831,906.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,266 : 381,844 = 381,844 : x
  2. Step 2: Convert to fraction form
    175,266/381,844 = 381,844/x
  3. Step 3: Cross multiply
    175,266x = 381,844 × 381,844
  4. Step 4: Simplify right side
    175,266x = 145,804,840,336
  5. Step 5: Solve for x
    x = 145,804,840,336/175,266
  6. Step 6: Final answer
    x = 831,906.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.