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Finding the Third Proportional to 116,989.50 and 239,524.50

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Solution

The third proportional to 116,989.50 and 239,524.50 is: 490,402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,989.50 : 239,524.50 = 239,524.50 : x
  2. Step 2: Convert to fraction form
    116,989.50/239,524.50 = 239,524.50/x
  3. Step 3: Cross multiply
    116,989.50x = 239,524.50 × 239,524.50
  4. Step 4: Simplify right side
    116,989.50x = 57,371,986,100.25
  5. Step 5: Solve for x
    x = 57,371,986,100.25/116,989.50
  6. Step 6: Final answer
    x = 490,402.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.