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Finding the Third Proportional to 178.31 and 282.94

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Solution

The third proportional to 178.31 and 282.94 is: 448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.31 : 282.94 = 282.94 : x
  2. Step 2: Convert to fraction form
    178.31/282.94 = 282.94/x
  3. Step 3: Cross multiply
    178.31x = 282.94 × 282.94
  4. Step 4: Simplify right side
    178.31x = 80,053.63
  5. Step 5: Solve for x
    x = 80,053.63/178.31
  6. Step 6: Final answer
    x = 448.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.