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Finding the Third Proportional to 157,450 and 246,282

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Solution

The third proportional to 157,450 and 246,282 is: 385,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,450 : 246,282 = 246,282 : x
  2. Step 2: Convert to fraction form
    157,450/246,282 = 246,282/x
  3. Step 3: Cross multiply
    157,450x = 246,282 × 246,282
  4. Step 4: Simplify right side
    157,450x = 60,654,823,524
  5. Step 5: Solve for x
    x = 60,654,823,524/157,450
  6. Step 6: Final answer
    x = 385,232.29

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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.