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Finding the Third Proportional to 150.94 and 349.22

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Solution

The third proportional to 150.94 and 349.22 is: 807.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.94 : 349.22 = 349.22 : x
  2. Step 2: Convert to fraction form
    150.94/349.22 = 349.22/x
  3. Step 3: Cross multiply
    150.94x = 349.22 × 349.22
  4. Step 4: Simplify right side
    150.94x = 121,953.74
  5. Step 5: Solve for x
    x = 121,953.74/150.94
  6. Step 6: Final answer
    x = 807.98

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.