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Finding the Third Proportional to 150.47 and 235.19

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Solution

The third proportional to 150.47 and 235.19 is: 367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.47 : 235.19 = 235.19 : x
  2. Step 2: Convert to fraction form
    150.47/235.19 = 235.19/x
  3. Step 3: Cross multiply
    150.47x = 235.19 × 235.19
  4. Step 4: Simplify right side
    150.47x = 55,313.16
  5. Step 5: Solve for x
    x = 55,313.16/150.47
  6. Step 6: Final answer
    x = 367.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.