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Finding the Third Proportional to 155,401.50 and 203,172

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Solution

The third proportional to 155,401.50 and 203,172 is: 265,627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,401.50 : 203,172 = 203,172 : x
  2. Step 2: Convert to fraction form
    155,401.50/203,172 = 203,172/x
  3. Step 3: Cross multiply
    155,401.50x = 203,172 × 203,172
  4. Step 4: Simplify right side
    155,401.50x = 41,278,861,584
  5. Step 5: Solve for x
    x = 41,278,861,584/155,401.50
  6. Step 6: Final answer
    x = 265,627.18

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.