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Finding the Third Proportional to 246,746.25 and 334,356.75

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Solution

The third proportional to 246,746.25 and 334,356.75 is: 453,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,746.25 : 334,356.75 = 334,356.75 : x
  2. Step 2: Convert to fraction form
    246,746.25/334,356.75 = 334,356.75/x
  3. Step 3: Cross multiply
    246,746.25x = 334,356.75 × 334,356.75
  4. Step 4: Simplify right side
    246,746.25x = 111,794,436,270.56
  5. Step 5: Solve for x
    x = 111,794,436,270.56/246,746.25
  6. Step 6: Final answer
    x = 453,074.51

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.