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Finding the Third Proportional to 223,219.50 and 336,843.75

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Solution

The third proportional to 223,219.50 and 336,843.75 is: 508,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,219.50 : 336,843.75 = 336,843.75 : x
  2. Step 2: Convert to fraction form
    223,219.50/336,843.75 = 336,843.75/x
  3. Step 3: Cross multiply
    223,219.50x = 336,843.75 × 336,843.75
  4. Step 4: Simplify right side
    223,219.50x = 113,463,711,914.06
  5. Step 5: Solve for x
    x = 113,463,711,914.06/223,219.50
  6. Step 6: Final answer
    x = 508,305.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.