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Finding the Third Proportional to 140.91 and 364.08

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Solution

The third proportional to 140.91 and 364.08 is: 940.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.91 : 364.08 = 364.08 : x
  2. Step 2: Convert to fraction form
    140.91/364.08 = 364.08/x
  3. Step 3: Cross multiply
    140.91x = 364.08 × 364.08
  4. Step 4: Simplify right side
    140.91x = 132,552.88
  5. Step 5: Solve for x
    x = 132,552.88/140.91
  6. Step 6: Final answer
    x = 940.72

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Why These Related Problems?

These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.