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Finding the Third Proportional to 153.35 and 233.23

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Solution

The third proportional to 153.35 and 233.23 is: 354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.35 : 233.23 = 233.23 : x
  2. Step 2: Convert to fraction form
    153.35/233.23 = 233.23/x
  3. Step 3: Cross multiply
    153.35x = 233.23 × 233.23
  4. Step 4: Simplify right side
    153.35x = 54,394.63
  5. Step 5: Solve for x
    x = 54,394.63/153.35
  6. Step 6: Final answer
    x = 354.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.