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Finding the Third Proportional to 158,258.25 and 337,272.75

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Solution

The third proportional to 158,258.25 and 337,272.75 is: 718,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,258.25 : 337,272.75 = 337,272.75 : x
  2. Step 2: Convert to fraction form
    158,258.25/337,272.75 = 337,272.75/x
  3. Step 3: Cross multiply
    158,258.25x = 337,272.75 × 337,272.75
  4. Step 4: Simplify right side
    158,258.25x = 113,752,907,892.56
  5. Step 5: Solve for x
    x = 113,752,907,892.56/158,258.25
  6. Step 6: Final answer
    x = 718,780.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.