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Finding the Third Proportional to 244,905.75 and 378,272.25

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Solution

The third proportional to 244,905.75 and 378,272.25 is: 584,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,905.75 : 378,272.25 = 378,272.25 : x
  2. Step 2: Convert to fraction form
    244,905.75/378,272.25 = 378,272.25/x
  3. Step 3: Cross multiply
    244,905.75x = 378,272.25 × 378,272.25
  4. Step 4: Simplify right side
    244,905.75x = 143,089,895,120.06
  5. Step 5: Solve for x
    x = 143,089,895,120.06/244,905.75
  6. Step 6: Final answer
    x = 584,265.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.