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Finding the Third Proportional to 132.94 and 282.06

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Solution

The third proportional to 132.94 and 282.06 is: 598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.94 : 282.06 = 282.06 : x
  2. Step 2: Convert to fraction form
    132.94/282.06 = 282.06/x
  3. Step 3: Cross multiply
    132.94x = 282.06 × 282.06
  4. Step 4: Simplify right side
    132.94x = 79,559.25
  5. Step 5: Solve for x
    x = 79,559.25/132.94
  6. Step 6: Final answer
    x = 598.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.