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Finding the Third Proportional to 189.84 and 294.26

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Solution

The third proportional to 189.84 and 294.26 is: 456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 294.26 = 294.26 : x
  2. Step 2: Convert to fraction form
    189.84/294.26 = 294.26/x
  3. Step 3: Cross multiply
    189.84x = 294.26 × 294.26
  4. Step 4: Simplify right side
    189.84x = 86,587.66
  5. Step 5: Solve for x
    x = 86,587.66/189.84
  6. Step 6: Final answer
    x = 456.10

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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.