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Finding the Third Proportional to 158,144 and 246,286

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Solution

The third proportional to 158,144 and 246,286 is: 383,554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,144 : 246,286 = 246,286 : x
  2. Step 2: Convert to fraction form
    158,144/246,286 = 246,286/x
  3. Step 3: Cross multiply
    158,144x = 246,286 × 246,286
  4. Step 4: Simplify right side
    158,144x = 60,656,793,796
  5. Step 5: Solve for x
    x = 60,656,793,796/158,144
  6. Step 6: Final answer
    x = 383,554.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.