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Finding the Third Proportional to 257.75 and 556

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Solution

The third proportional to 257.75 and 556 is: 1,199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.75 : 556 = 556 : x
  2. Step 2: Convert to fraction form
    257.75/556 = 556/x
  3. Step 3: Cross multiply
    257.75x = 556 × 556
  4. Step 4: Simplify right side
    257.75x = 309,136
  5. Step 5: Solve for x
    x = 309,136/257.75
  6. Step 6: Final answer
    x = 1,199.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.