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Finding the Third Proportional to 157.13 and 255.94

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Solution

The third proportional to 157.13 and 255.94 is: 416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.13 : 255.94 = 255.94 : x
  2. Step 2: Convert to fraction form
    157.13/255.94 = 255.94/x
  3. Step 3: Cross multiply
    157.13x = 255.94 × 255.94
  4. Step 4: Simplify right side
    157.13x = 65,504.00
  5. Step 5: Solve for x
    x = 65,504.00/157.13
  6. Step 6: Final answer
    x = 416.89

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.