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Finding the Third Proportional to 281,296 and 375,762

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Solution

The third proportional to 281,296 and 375,762 is: 501,951.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,296 : 375,762 = 375,762 : x
  2. Step 2: Convert to fraction form
    281,296/375,762 = 375,762/x
  3. Step 3: Cross multiply
    281,296x = 375,762 × 375,762
  4. Step 4: Simplify right side
    281,296x = 141,197,080,644
  5. Step 5: Solve for x
    x = 141,197,080,644/281,296
  6. Step 6: Final answer
    x = 501,951.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.