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Finding the Third Proportional to 189.75 and 469.13

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Solution

The third proportional to 189.75 and 469.13 is: 1,159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.75 : 469.13 = 469.13 : x
  2. Step 2: Convert to fraction form
    189.75/469.13 = 469.13/x
  3. Step 3: Cross multiply
    189.75x = 469.13 × 469.13
  4. Step 4: Simplify right side
    189.75x = 220,078.27
  5. Step 5: Solve for x
    x = 220,078.27/189.75
  6. Step 6: Final answer
    x = 1,159.83

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.