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Finding the Third Proportional to 189 and 468

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Solution

The third proportional to 189 and 468 is: 1,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 468 = 468 : x
  2. Step 2: Convert to fraction form
    189/468 = 468/x
  3. Step 3: Cross multiply
    189x = 468 × 468
  4. Step 4: Simplify right side
    189x = 219,024
  5. Step 5: Solve for x
    x = 219,024/189
  6. Step 6: Final answer
    x = 1,158.86

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.