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Finding the Third Proportional to 227,693.25 and 339,692.63

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Solution

The third proportional to 227,693.25 and 339,692.63 is: 506,783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,693.25 : 339,692.63 = 339,692.63 : x
  2. Step 2: Convert to fraction form
    227,693.25/339,692.63 = 339,692.63/x
  3. Step 3: Cross multiply
    227,693.25x = 339,692.63 × 339,692.63
  4. Step 4: Simplify right side
    227,693.25x = 115,391,079,479.39
  5. Step 5: Solve for x
    x = 115,391,079,479.39/227,693.25
  6. Step 6: Final answer
    x = 506,783.05

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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.