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Finding the Third Proportional to 257.75 and 533.50

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Solution

The third proportional to 257.75 and 533.50 is: 1,104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.75 : 533.50 = 533.50 : x
  2. Step 2: Convert to fraction form
    257.75/533.50 = 533.50/x
  3. Step 3: Cross multiply
    257.75x = 533.50 × 533.50
  4. Step 4: Simplify right side
    257.75x = 284,622.25
  5. Step 5: Solve for x
    x = 284,622.25/257.75
  6. Step 6: Final answer
    x = 1,104.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.