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Finding the Third Proportional to 157.36 and 337.39

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Solution

The third proportional to 157.36 and 337.39 is: 723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.36 : 337.39 = 337.39 : x
  2. Step 2: Convert to fraction form
    157.36/337.39 = 337.39/x
  3. Step 3: Cross multiply
    157.36x = 337.39 × 337.39
  4. Step 4: Simplify right side
    157.36x = 113,835.07
  5. Step 5: Solve for x
    x = 113,835.07/157.36
  6. Step 6: Final answer
    x = 723.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.