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Finding the Third Proportional to 220.50 and 257.63

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Solution

The third proportional to 220.50 and 257.63 is: 301.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.50 : 257.63 = 257.63 : x
  2. Step 2: Convert to fraction form
    220.50/257.63 = 257.63/x
  3. Step 3: Cross multiply
    220.50x = 257.63 × 257.63
  4. Step 4: Simplify right side
    220.50x = 66,370.64
  5. Step 5: Solve for x
    x = 66,370.64/220.50
  6. Step 6: Final answer
    x = 301.00

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.