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Finding the Third Proportional to 189,469 and 414,600

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Solution

The third proportional to 189,469 and 414,600 is: 907,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,469 : 414,600 = 414,600 : x
  2. Step 2: Convert to fraction form
    189,469/414,600 = 414,600/x
  3. Step 3: Cross multiply
    189,469x = 414,600 × 414,600
  4. Step 4: Simplify right side
    189,469x = 171,893,160,000
  5. Step 5: Solve for x
    x = 171,893,160,000/189,469
  6. Step 6: Final answer
    x = 907,236.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.