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Finding the Third Proportional to 229.57 and 373.43

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Solution

The third proportional to 229.57 and 373.43 is: 607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.57 : 373.43 = 373.43 : x
  2. Step 2: Convert to fraction form
    229.57/373.43 = 373.43/x
  3. Step 3: Cross multiply
    229.57x = 373.43 × 373.43
  4. Step 4: Simplify right side
    229.57x = 139,449.73
  5. Step 5: Solve for x
    x = 139,449.73/229.57
  6. Step 6: Final answer
    x = 607.44

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.