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Finding the Third Proportional to 222,917 and 342,151.50

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Solution

The third proportional to 222,917 and 342,151.50 is: 525,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,917 : 342,151.50 = 342,151.50 : x
  2. Step 2: Convert to fraction form
    222,917/342,151.50 = 342,151.50/x
  3. Step 3: Cross multiply
    222,917x = 342,151.50 × 342,151.50
  4. Step 4: Simplify right side
    222,917x = 117,067,648,952.25
  5. Step 5: Solve for x
    x = 117,067,648,952.25/222,917
  6. Step 6: Final answer
    x = 525,162.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.