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Finding the Third Proportional to 241,908.75 and 384,314.25

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Solution

The third proportional to 241,908.75 and 384,314.25 is: 610,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,908.75 : 384,314.25 = 384,314.25 : x
  2. Step 2: Convert to fraction form
    241,908.75/384,314.25 = 384,314.25/x
  3. Step 3: Cross multiply
    241,908.75x = 384,314.25 × 384,314.25
  4. Step 4: Simplify right side
    241,908.75x = 147,697,442,753.06
  5. Step 5: Solve for x
    x = 147,697,442,753.06/241,908.75
  6. Step 6: Final answer
    x = 610,550.23

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.