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Finding the Third Proportional to 130.78 and 201.84

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Solution

The third proportional to 130.78 and 201.84 is: 311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.78 : 201.84 = 201.84 : x
  2. Step 2: Convert to fraction form
    130.78/201.84 = 201.84/x
  3. Step 3: Cross multiply
    130.78x = 201.84 × 201.84
  4. Step 4: Simplify right side
    130.78x = 40,740.90
  5. Step 5: Solve for x
    x = 40,740.90/130.78
  6. Step 6: Final answer
    x = 311.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.