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Finding the Third Proportional to 141.21 and 293.23

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Solution

The third proportional to 141.21 and 293.23 is: 608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.21 : 293.23 = 293.23 : x
  2. Step 2: Convert to fraction form
    141.21/293.23 = 293.23/x
  3. Step 3: Cross multiply
    141.21x = 293.23 × 293.23
  4. Step 4: Simplify right side
    141.21x = 85,981.82
  5. Step 5: Solve for x
    x = 85,981.82/141.21
  6. Step 6: Final answer
    x = 608.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.