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Finding the Third Proportional to 227,692.50 and 339,690

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Solution

The third proportional to 227,692.50 and 339,690 is: 506,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,692.50 : 339,690 = 339,690 : x
  2. Step 2: Convert to fraction form
    227,692.50/339,690 = 339,690/x
  3. Step 3: Cross multiply
    227,692.50x = 339,690 × 339,690
  4. Step 4: Simplify right side
    227,692.50x = 115,389,296,100
  5. Step 5: Solve for x
    x = 115,389,296,100/227,692.50
  6. Step 6: Final answer
    x = 506,776.89

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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.