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Finding the Third Proportional to 154,496.25 and 239,094

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Solution

The third proportional to 154,496.25 and 239,094 is: 370,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,496.25 : 239,094 = 239,094 : x
  2. Step 2: Convert to fraction form
    154,496.25/239,094 = 239,094/x
  3. Step 3: Cross multiply
    154,496.25x = 239,094 × 239,094
  4. Step 4: Simplify right side
    154,496.25x = 57,165,940,836
  5. Step 5: Solve for x
    x = 57,165,940,836/154,496.25
  6. Step 6: Final answer
    x = 370,015.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.