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Finding the Third Proportional to 229.39 and 346.23

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Solution

The third proportional to 229.39 and 346.23 is: 522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.39 : 346.23 = 346.23 : x
  2. Step 2: Convert to fraction form
    229.39/346.23 = 346.23/x
  3. Step 3: Cross multiply
    229.39x = 346.23 × 346.23
  4. Step 4: Simplify right side
    229.39x = 119,873.51
  5. Step 5: Solve for x
    x = 119,873.51/229.39
  6. Step 6: Final answer
    x = 522.56

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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.