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Finding the Third Proportional to 227,695 and 339,693

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Solution

The third proportional to 227,695 and 339,693 is: 506,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,695 : 339,693 = 339,693 : x
  2. Step 2: Convert to fraction form
    227,695/339,693 = 339,693/x
  3. Step 3: Cross multiply
    227,695x = 339,693 × 339,693
  4. Step 4: Simplify right side
    227,695x = 115,391,334,249
  5. Step 5: Solve for x
    x = 115,391,334,249/227,695
  6. Step 6: Final answer
    x = 506,780.27

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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.