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Finding the Third Proportional to 155,046.75 and 333,846

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Solution

The third proportional to 155,046.75 and 333,846 is: 718,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,046.75 : 333,846 = 333,846 : x
  2. Step 2: Convert to fraction form
    155,046.75/333,846 = 333,846/x
  3. Step 3: Cross multiply
    155,046.75x = 333,846 × 333,846
  4. Step 4: Simplify right side
    155,046.75x = 111,453,151,716
  5. Step 5: Solve for x
    x = 111,453,151,716/155,046.75
  6. Step 6: Final answer
    x = 718,835.78

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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.