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Finding the Third Proportional to 246,881 and 368,701

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Solution

The third proportional to 246,881 and 368,701 is: 550,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,881 : 368,701 = 368,701 : x
  2. Step 2: Convert to fraction form
    246,881/368,701 = 368,701/x
  3. Step 3: Cross multiply
    246,881x = 368,701 × 368,701
  4. Step 4: Simplify right side
    246,881x = 135,940,427,401
  5. Step 5: Solve for x
    x = 135,940,427,401/246,881
  6. Step 6: Final answer
    x = 550,631.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.