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Finding the Third Proportional to 227,354 and 339,625

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Solution

The third proportional to 227,354 and 339,625 is: 507,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,354 : 339,625 = 339,625 : x
  2. Step 2: Convert to fraction form
    227,354/339,625 = 339,625/x
  3. Step 3: Cross multiply
    227,354x = 339,625 × 339,625
  4. Step 4: Simplify right side
    227,354x = 115,345,140,625
  5. Step 5: Solve for x
    x = 115,345,140,625/227,354
  6. Step 6: Final answer
    x = 507,337.19

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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.