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Finding the Third Proportional to 157.31 and 211.03

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Solution

The third proportional to 157.31 and 211.03 is: 283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.31 : 211.03 = 211.03 : x
  2. Step 2: Convert to fraction form
    157.31/211.03 = 211.03/x
  3. Step 3: Cross multiply
    157.31x = 211.03 × 211.03
  4. Step 4: Simplify right side
    157.31x = 44,534.19
  5. Step 5: Solve for x
    x = 44,534.19/157.31
  6. Step 6: Final answer
    x = 283.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.