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Finding the Third Proportional to 134 and 293.13

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Solution

The third proportional to 134 and 293.13 is: 641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    134 : 293.13 = 293.13 : x
  2. Step 2: Convert to fraction form
    134/293.13 = 293.13/x
  3. Step 3: Cross multiply
    134x = 293.13 × 293.13
  4. Step 4: Simplify right side
    134x = 85,922.27
  5. Step 5: Solve for x
    x = 85,922.27/134
  6. Step 6: Final answer
    x = 641.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.