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Finding the Third Proportional to 189.01 and 292.06

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Solution

The third proportional to 189.01 and 292.06 is: 451.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.01 : 292.06 = 292.06 : x
  2. Step 2: Convert to fraction form
    189.01/292.06 = 292.06/x
  3. Step 3: Cross multiply
    189.01x = 292.06 × 292.06
  4. Step 4: Simplify right side
    189.01x = 85,300.65
  5. Step 5: Solve for x
    x = 85,300.65/189.01
  6. Step 6: Final answer
    x = 451.29

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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.