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Finding the Third Proportional to 175.29 and 384.12

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Solution

The third proportional to 175.29 and 384.12 is: 841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.29 : 384.12 = 384.12 : x
  2. Step 2: Convert to fraction form
    175.29/384.12 = 384.12/x
  3. Step 3: Cross multiply
    175.29x = 384.12 × 384.12
  4. Step 4: Simplify right side
    175.29x = 147,546.01
  5. Step 5: Solve for x
    x = 147,546.01/175.29
  6. Step 6: Final answer
    x = 841.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.