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Finding the Third Proportional to 132.38 and 290.63

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Solution

The third proportional to 132.38 and 290.63 is: 638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.38 : 290.63 = 290.63 : x
  2. Step 2: Convert to fraction form
    132.38/290.63 = 290.63/x
  3. Step 3: Cross multiply
    132.38x = 290.63 × 290.63
  4. Step 4: Simplify right side
    132.38x = 84,462.89
  5. Step 5: Solve for x
    x = 84,462.89/132.38
  6. Step 6: Final answer
    x = 638.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.