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Finding the Third Proportional to 141.93 and 301.07

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Solution

The third proportional to 141.93 and 301.07 is: 638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.93 : 301.07 = 301.07 : x
  2. Step 2: Convert to fraction form
    141.93/301.07 = 301.07/x
  3. Step 3: Cross multiply
    141.93x = 301.07 × 301.07
  4. Step 4: Simplify right side
    141.93x = 90,645.39
  5. Step 5: Solve for x
    x = 90,645.39/141.93
  6. Step 6: Final answer
    x = 638.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.