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Finding the Third Proportional to 222,110.50 and 324,835.69

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Solution

The third proportional to 222,110.50 and 324,835.69 is: 475,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,110.50 : 324,835.69 = 324,835.69 : x
  2. Step 2: Convert to fraction form
    222,110.50/324,835.69 = 324,835.69/x
  3. Step 3: Cross multiply
    222,110.50x = 324,835.69 × 324,835.69
  4. Step 4: Simplify right side
    222,110.50x = 105,518,223,873.60
  5. Step 5: Solve for x
    x = 105,518,223,873.60/222,110.50
  6. Step 6: Final answer
    x = 475,070.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.