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Finding the Third Proportional to 212,342.06 and 449,278.31

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Solution

The third proportional to 212,342.06 and 449,278.31 is: 950,593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,342.06 : 449,278.31 = 449,278.31 : x
  2. Step 2: Convert to fraction form
    212,342.06/449,278.31 = 449,278.31/x
  3. Step 3: Cross multiply
    212,342.06x = 449,278.31 × 449,278.31
  4. Step 4: Simplify right side
    212,342.06x = 201,851,002,082.85
  5. Step 5: Solve for x
    x = 201,851,002,082.85/212,342.06
  6. Step 6: Final answer
    x = 950,593.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.