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Finding the Third Proportional to 257 and 600

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Solution

The third proportional to 257 and 600 is: 1,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 600 = 600 : x
  2. Step 2: Convert to fraction form
    257/600 = 600/x
  3. Step 3: Cross multiply
    257x = 600 × 600
  4. Step 4: Simplify right side
    257x = 360,000
  5. Step 5: Solve for x
    x = 360,000/257
  6. Step 6: Final answer
    x = 1,400.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.