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Finding the Third Proportional to 130.95 and 272.71

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Solution

The third proportional to 130.95 and 272.71 is: 567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.95 : 272.71 = 272.71 : x
  2. Step 2: Convert to fraction form
    130.95/272.71 = 272.71/x
  3. Step 3: Cross multiply
    130.95x = 272.71 × 272.71
  4. Step 4: Simplify right side
    130.95x = 74,369.42
  5. Step 5: Solve for x
    x = 74,369.42/130.95
  6. Step 6: Final answer
    x = 567.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.