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Finding the Third Proportional to 164,494.50 and 222,900

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Solution

The third proportional to 164,494.50 and 222,900 is: 302,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,494.50 : 222,900 = 222,900 : x
  2. Step 2: Convert to fraction form
    164,494.50/222,900 = 222,900/x
  3. Step 3: Cross multiply
    164,494.50x = 222,900 × 222,900
  4. Step 4: Simplify right side
    164,494.50x = 49,684,410,000
  5. Step 5: Solve for x
    x = 49,684,410,000/164,494.50
  6. Step 6: Final answer
    x = 302,042.99

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.