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Finding the Third Proportional to 189.42 and 293.48

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Solution

The third proportional to 189.42 and 293.48 is: 454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.42 : 293.48 = 293.48 : x
  2. Step 2: Convert to fraction form
    189.42/293.48 = 293.48/x
  3. Step 3: Cross multiply
    189.42x = 293.48 × 293.48
  4. Step 4: Simplify right side
    189.42x = 86,133.08
  5. Step 5: Solve for x
    x = 86,133.08/189.42
  6. Step 6: Final answer
    x = 454.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.