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Finding the Third Proportional to 153.47 and 331.97

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Solution

The third proportional to 153.47 and 331.97 is: 718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.47 : 331.97 = 331.97 : x
  2. Step 2: Convert to fraction form
    153.47/331.97 = 331.97/x
  3. Step 3: Cross multiply
    153.47x = 331.97 × 331.97
  4. Step 4: Simplify right side
    153.47x = 110,203.25
  5. Step 5: Solve for x
    x = 110,203.25/153.47
  6. Step 6: Final answer
    x = 718.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.