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Finding the Third Proportional to 140.06 and 294.47

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Solution

The third proportional to 140.06 and 294.47 is: 619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.06 : 294.47 = 294.47 : x
  2. Step 2: Convert to fraction form
    140.06/294.47 = 294.47/x
  3. Step 3: Cross multiply
    140.06x = 294.47 × 294.47
  4. Step 4: Simplify right side
    140.06x = 86,711.84
  5. Step 5: Solve for x
    x = 86,711.84/140.06
  6. Step 6: Final answer
    x = 619.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.