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Finding the Third Proportional to 175.83 and 392.11

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Solution

The third proportional to 175.83 and 392.11 is: 874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.83 : 392.11 = 392.11 : x
  2. Step 2: Convert to fraction form
    175.83/392.11 = 392.11/x
  3. Step 3: Cross multiply
    175.83x = 392.11 × 392.11
  4. Step 4: Simplify right side
    175.83x = 153,749.76
  5. Step 5: Solve for x
    x = 153,749.76/175.83
  6. Step 6: Final answer
    x = 874.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.