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Finding the Third Proportional to 85,321.50 and 183,522.50

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Solution

The third proportional to 85,321.50 and 183,522.50 is: 394,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,321.50 : 183,522.50 = 183,522.50 : x
  2. Step 2: Convert to fraction form
    85,321.50/183,522.50 = 183,522.50/x
  3. Step 3: Cross multiply
    85,321.50x = 183,522.50 × 183,522.50
  4. Step 4: Simplify right side
    85,321.50x = 33,680,508,006.25
  5. Step 5: Solve for x
    x = 33,680,508,006.25/85,321.50
  6. Step 6: Final answer
    x = 394,748.19

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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.