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Finding the Third Proportional to 175.69 and 369.47

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Solution

The third proportional to 175.69 and 369.47 is: 776.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.69 : 369.47 = 369.47 : x
  2. Step 2: Convert to fraction form
    175.69/369.47 = 369.47/x
  3. Step 3: Cross multiply
    175.69x = 369.47 × 369.47
  4. Step 4: Simplify right side
    175.69x = 136,507.16
  5. Step 5: Solve for x
    x = 136,507.16/175.69
  6. Step 6: Final answer
    x = 776.99

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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.