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Finding the Third Proportional to 227,742 and 339,773

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Solution

The third proportional to 227,742 and 339,773 is: 506,914.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,742 : 339,773 = 339,773 : x
  2. Step 2: Convert to fraction form
    227,742/339,773 = 339,773/x
  3. Step 3: Cross multiply
    227,742x = 339,773 × 339,773
  4. Step 4: Simplify right side
    227,742x = 115,445,691,529
  5. Step 5: Solve for x
    x = 115,445,691,529/227,742
  6. Step 6: Final answer
    x = 506,914.37

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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.