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Finding the Third Proportional to 156.94 and 340.03

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Solution

The third proportional to 156.94 and 340.03 is: 736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.94 : 340.03 = 340.03 : x
  2. Step 2: Convert to fraction form
    156.94/340.03 = 340.03/x
  3. Step 3: Cross multiply
    156.94x = 340.03 × 340.03
  4. Step 4: Simplify right side
    156.94x = 115,621.25
  5. Step 5: Solve for x
    x = 115,621.25/156.94
  6. Step 6: Final answer
    x = 736.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.