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Finding the Third Proportional to 107,894.25 and 237,201.75

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Solution

The third proportional to 107,894.25 and 237,201.75 is: 521,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,894.25 : 237,201.75 = 237,201.75 : x
  2. Step 2: Convert to fraction form
    107,894.25/237,201.75 = 237,201.75/x
  3. Step 3: Cross multiply
    107,894.25x = 237,201.75 × 237,201.75
  4. Step 4: Simplify right side
    107,894.25x = 56,264,670,203.06
  5. Step 5: Solve for x
    x = 56,264,670,203.06/107,894.25
  6. Step 6: Final answer
    x = 521,479.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.