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Finding the Third Proportional to 175,182.75 and 383,352.75

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Solution

The third proportional to 175,182.75 and 383,352.75 is: 838,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,182.75 : 383,352.75 = 383,352.75 : x
  2. Step 2: Convert to fraction form
    175,182.75/383,352.75 = 383,352.75/x
  3. Step 3: Cross multiply
    175,182.75x = 383,352.75 × 383,352.75
  4. Step 4: Simplify right side
    175,182.75x = 146,959,330,932.56
  5. Step 5: Solve for x
    x = 146,959,330,932.56/175,182.75
  6. Step 6: Final answer
    x = 838,891.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.