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Finding the Third Proportional to 226,398 and 331,575

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Solution

The third proportional to 226,398 and 331,575 is: 485,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,398 : 331,575 = 331,575 : x
  2. Step 2: Convert to fraction form
    226,398/331,575 = 331,575/x
  3. Step 3: Cross multiply
    226,398x = 331,575 × 331,575
  4. Step 4: Simplify right side
    226,398x = 109,941,980,625
  5. Step 5: Solve for x
    x = 109,941,980,625/226,398
  6. Step 6: Final answer
    x = 485,613.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.