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Finding the Third Proportional to 229,944.50 and 343,500.75

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Solution

The third proportional to 229,944.50 and 343,500.75 is: 513,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,944.50 : 343,500.75 = 343,500.75 : x
  2. Step 2: Convert to fraction form
    229,944.50/343,500.75 = 343,500.75/x
  3. Step 3: Cross multiply
    229,944.50x = 343,500.75 × 343,500.75
  4. Step 4: Simplify right side
    229,944.50x = 117,992,765,250.56
  5. Step 5: Solve for x
    x = 117,992,765,250.56/229,944.50
  6. Step 6: Final answer
    x = 513,135.84

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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.