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Finding the Third Proportional to 154,094 and 331,180

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Solution

The third proportional to 154,094 and 331,180 is: 711,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,094 : 331,180 = 331,180 : x
  2. Step 2: Convert to fraction form
    154,094/331,180 = 331,180/x
  3. Step 3: Cross multiply
    154,094x = 331,180 × 331,180
  4. Step 4: Simplify right side
    154,094x = 109,680,192,400
  5. Step 5: Solve for x
    x = 109,680,192,400/154,094
  6. Step 6: Final answer
    x = 711,774.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.