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Finding the Third Proportional to 175.71 and 383.84

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Solution

The third proportional to 175.71 and 383.84 is: 838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.71 : 383.84 = 383.84 : x
  2. Step 2: Convert to fraction form
    175.71/383.84 = 383.84/x
  3. Step 3: Cross multiply
    175.71x = 383.84 × 383.84
  4. Step 4: Simplify right side
    175.71x = 147,330.03
  5. Step 5: Solve for x
    x = 147,330.03/175.71
  6. Step 6: Final answer
    x = 838.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.