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Finding the Third Proportional to 223,118 and 339,906.50

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Solution

The third proportional to 223,118 and 339,906.50 is: 517,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,118 : 339,906.50 = 339,906.50 : x
  2. Step 2: Convert to fraction form
    223,118/339,906.50 = 339,906.50/x
  3. Step 3: Cross multiply
    223,118x = 339,906.50 × 339,906.50
  4. Step 4: Simplify right side
    223,118x = 115,536,428,742.25
  5. Step 5: Solve for x
    x = 115,536,428,742.25/223,118
  6. Step 6: Final answer
    x = 517,826.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.