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Finding the Third Proportional to 157,282 and 250,171

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Solution

The third proportional to 157,282 and 250,171 is: 397,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,282 : 250,171 = 250,171 : x
  2. Step 2: Convert to fraction form
    157,282/250,171 = 250,171/x
  3. Step 3: Cross multiply
    157,282x = 250,171 × 250,171
  4. Step 4: Simplify right side
    157,282x = 62,585,529,241
  5. Step 5: Solve for x
    x = 62,585,529,241/157,282
  6. Step 6: Final answer
    x = 397,919.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.