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Finding the Third Proportional to 189,550.13 and 285,094.69

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Solution

The third proportional to 189,550.13 and 285,094.69 is: 428,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,550.13 : 285,094.69 = 285,094.69 : x
  2. Step 2: Convert to fraction form
    189,550.13/285,094.69 = 285,094.69/x
  3. Step 3: Cross multiply
    189,550.13x = 285,094.69 × 285,094.69
  4. Step 4: Simplify right side
    189,550.13x = 81,278,980,840.72
  5. Step 5: Solve for x
    x = 81,278,980,840.72/189,550.13
  6. Step 6: Final answer
    x = 428,799.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.