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Finding the Third Proportional to 170.86 and 229.22

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Solution

The third proportional to 170.86 and 229.22 is: 307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.86 : 229.22 = 229.22 : x
  2. Step 2: Convert to fraction form
    170.86/229.22 = 229.22/x
  3. Step 3: Cross multiply
    170.86x = 229.22 × 229.22
  4. Step 4: Simplify right side
    170.86x = 52,541.24
  5. Step 5: Solve for x
    x = 52,541.24/170.86
  6. Step 6: Final answer
    x = 307.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.