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Finding the Third Proportional to 130.28 and 286.19

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Solution

The third proportional to 130.28 and 286.19 is: 628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.28 : 286.19 = 286.19 : x
  2. Step 2: Convert to fraction form
    130.28/286.19 = 286.19/x
  3. Step 3: Cross multiply
    130.28x = 286.19 × 286.19
  4. Step 4: Simplify right side
    130.28x = 81,904.40
  5. Step 5: Solve for x
    x = 81,904.40/130.28
  6. Step 6: Final answer
    x = 628.68

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