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Finding the Third Proportional to 158,132 and 246,270

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Solution

The third proportional to 158,132 and 246,270 is: 383,533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,132 : 246,270 = 246,270 : x
  2. Step 2: Convert to fraction form
    158,132/246,270 = 246,270/x
  3. Step 3: Cross multiply
    158,132x = 246,270 × 246,270
  4. Step 4: Simplify right side
    158,132x = 60,648,912,900
  5. Step 5: Solve for x
    x = 60,648,912,900/158,132
  6. Step 6: Final answer
    x = 383,533.46

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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.