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Finding the Third Proportional to 257.34 and 610.88

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Solution

The third proportional to 257.34 and 610.88 is: 1,450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.34 : 610.88 = 610.88 : x
  2. Step 2: Convert to fraction form
    257.34/610.88 = 610.88/x
  3. Step 3: Cross multiply
    257.34x = 610.88 × 610.88
  4. Step 4: Simplify right side
    257.34x = 373,168.27
  5. Step 5: Solve for x
    x = 373,168.27/257.34
  6. Step 6: Final answer
    x = 1,450.08

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.