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Finding the Third Proportional to 227,740 and 339,770

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Solution

The third proportional to 227,740 and 339,770 is: 506,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,740 : 339,770 = 339,770 : x
  2. Step 2: Convert to fraction form
    227,740/339,770 = 339,770/x
  3. Step 3: Cross multiply
    227,740x = 339,770 × 339,770
  4. Step 4: Simplify right side
    227,740x = 115,443,652,900
  5. Step 5: Solve for x
    x = 115,443,652,900/227,740
  6. Step 6: Final answer
    x = 506,909.87

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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.