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Finding the Third Proportional to 130.56 and 281.56

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Solution

The third proportional to 130.56 and 281.56 is: 607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.56 : 281.56 = 281.56 : x
  2. Step 2: Convert to fraction form
    130.56/281.56 = 281.56/x
  3. Step 3: Cross multiply
    130.56x = 281.56 × 281.56
  4. Step 4: Simplify right side
    130.56x = 79,277.44
  5. Step 5: Solve for x
    x = 79,277.44/130.56
  6. Step 6: Final answer
    x = 607.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.