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Finding the Third Proportional to 103,372.50 and 222,580.50

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Solution

The third proportional to 103,372.50 and 222,580.50 is: 479,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,372.50 : 222,580.50 = 222,580.50 : x
  2. Step 2: Convert to fraction form
    103,372.50/222,580.50 = 222,580.50/x
  3. Step 3: Cross multiply
    103,372.50x = 222,580.50 × 222,580.50
  4. Step 4: Simplify right side
    103,372.50x = 49,542,078,980.25
  5. Step 5: Solve for x
    x = 49,542,078,980.25/103,372.50
  6. Step 6: Final answer
    x = 479,257.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.