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Finding the Third Proportional to 189,370.41 and 414,370.69

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Solution

The third proportional to 189,370.41 and 414,370.69 is: 906,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,370.41 : 414,370.69 = 414,370.69 : x
  2. Step 2: Convert to fraction form
    189,370.41/414,370.69 = 414,370.69/x
  3. Step 3: Cross multiply
    189,370.41x = 414,370.69 × 414,370.69
  4. Step 4: Simplify right side
    189,370.41x = 171,703,066,659.22
  5. Step 5: Solve for x
    x = 171,703,066,659.22/189,370.41
  6. Step 6: Final answer
    x = 906,704.85

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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.