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Finding the Third Proportional to 265.23 and 346.54

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Solution

The third proportional to 265.23 and 346.54 is: 452.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.23 : 346.54 = 346.54 : x
  2. Step 2: Convert to fraction form
    265.23/346.54 = 346.54/x
  3. Step 3: Cross multiply
    265.23x = 346.54 × 346.54
  4. Step 4: Simplify right side
    265.23x = 120,092.71
  5. Step 5: Solve for x
    x = 120,092.71/265.23
  6. Step 6: Final answer
    x = 452.79

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.