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Finding the Third Proportional to 266.50 and 417.25

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Solution

The third proportional to 266.50 and 417.25 is: 653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.50 : 417.25 = 417.25 : x
  2. Step 2: Convert to fraction form
    266.50/417.25 = 417.25/x
  3. Step 3: Cross multiply
    266.50x = 417.25 × 417.25
  4. Step 4: Simplify right side
    266.50x = 174,097.56
  5. Step 5: Solve for x
    x = 174,097.56/266.50
  6. Step 6: Final answer
    x = 653.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.