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Finding the Third Proportional to 178,364.75 and 261,147.75

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Solution

The third proportional to 178,364.75 and 261,147.75 is: 382,352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,364.75 : 261,147.75 = 261,147.75 : x
  2. Step 2: Convert to fraction form
    178,364.75/261,147.75 = 261,147.75/x
  3. Step 3: Cross multiply
    178,364.75x = 261,147.75 × 261,147.75
  4. Step 4: Simplify right side
    178,364.75x = 68,198,147,330.06
  5. Step 5: Solve for x
    x = 68,198,147,330.06/178,364.75
  6. Step 6: Final answer
    x = 382,352.16

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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.