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Finding the Third Proportional to 130.41 and 200.37

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Solution

The third proportional to 130.41 and 200.37 is: 307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.41 : 200.37 = 200.37 : x
  2. Step 2: Convert to fraction form
    130.41/200.37 = 200.37/x
  3. Step 3: Cross multiply
    130.41x = 200.37 × 200.37
  4. Step 4: Simplify right side
    130.41x = 40,147.01
  5. Step 5: Solve for x
    x = 40,147.01/130.41
  6. Step 6: Final answer
    x = 307.86

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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.