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Finding the Third Proportional to 113.43 and 174.45

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Solution

The third proportional to 113.43 and 174.45 is: 268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.43 : 174.45 = 174.45 : x
  2. Step 2: Convert to fraction form
    113.43/174.45 = 174.45/x
  3. Step 3: Cross multiply
    113.43x = 174.45 × 174.45
  4. Step 4: Simplify right side
    113.43x = 30,431.17
  5. Step 5: Solve for x
    x = 30,431.17/113.43
  6. Step 6: Final answer
    x = 268.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.