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Finding the Third Proportional to 141.94 and 307.38

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Solution

The third proportional to 141.94 and 307.38 is: 665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.94 : 307.38 = 307.38 : x
  2. Step 2: Convert to fraction form
    141.94/307.38 = 307.38/x
  3. Step 3: Cross multiply
    141.94x = 307.38 × 307.38
  4. Step 4: Simplify right side
    141.94x = 94,479.39
  5. Step 5: Solve for x
    x = 94,479.39/141.94
  6. Step 6: Final answer
    x = 665.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.