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Finding the Third Proportional to 229.41 and 346.27

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Solution

The third proportional to 229.41 and 346.27 is: 522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.41 : 346.27 = 346.27 : x
  2. Step 2: Convert to fraction form
    229.41/346.27 = 346.27/x
  3. Step 3: Cross multiply
    229.41x = 346.27 × 346.27
  4. Step 4: Simplify right side
    229.41x = 119,899.88
  5. Step 5: Solve for x
    x = 119,899.88/229.41
  6. Step 6: Final answer
    x = 522.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.