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Finding the Third Proportional to 147.92 and 265.46

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Solution

The third proportional to 147.92 and 265.46 is: 476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.92 : 265.46 = 265.46 : x
  2. Step 2: Convert to fraction form
    147.92/265.46 = 265.46/x
  3. Step 3: Cross multiply
    147.92x = 265.46 × 265.46
  4. Step 4: Simplify right side
    147.92x = 70,471.58
  5. Step 5: Solve for x
    x = 70,471.58/147.92
  6. Step 6: Final answer
    x = 476.42

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.