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Finding the Third Proportional to 236,353.50 and 339,766.50

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Solution

The third proportional to 236,353.50 and 339,766.50 is: 488,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,353.50 : 339,766.50 = 339,766.50 : x
  2. Step 2: Convert to fraction form
    236,353.50/339,766.50 = 339,766.50/x
  3. Step 3: Cross multiply
    236,353.50x = 339,766.50 × 339,766.50
  4. Step 4: Simplify right side
    236,353.50x = 115,441,274,522.25
  5. Step 5: Solve for x
    x = 115,441,274,522.25/236,353.50
  6. Step 6: Final answer
    x = 488,426.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.