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Finding the Third Proportional to 175.41 and 362.06

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Solution

The third proportional to 175.41 and 362.06 is: 747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.41 : 362.06 = 362.06 : x
  2. Step 2: Convert to fraction form
    175.41/362.06 = 362.06/x
  3. Step 3: Cross multiply
    175.41x = 362.06 × 362.06
  4. Step 4: Simplify right side
    175.41x = 131,089.25
  5. Step 5: Solve for x
    x = 131,089.25/175.41
  6. Step 6: Final answer
    x = 747.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.