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Finding the Third Proportional to 130.03 and 274.59

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Solution

The third proportional to 130.03 and 274.59 is: 579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.03 : 274.59 = 274.59 : x
  2. Step 2: Convert to fraction form
    130.03/274.59 = 274.59/x
  3. Step 3: Cross multiply
    130.03x = 274.59 × 274.59
  4. Step 4: Simplify right side
    130.03x = 75,401.73
  5. Step 5: Solve for x
    x = 75,401.73/130.03
  6. Step 6: Final answer
    x = 579.87

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.