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Finding the Third Proportional to 185,311.13 and 386,704.13

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Solution

The third proportional to 185,311.13 and 386,704.13 is: 806,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,311.13 : 386,704.13 = 386,704.13 : x
  2. Step 2: Convert to fraction form
    185,311.13/386,704.13 = 386,704.13/x
  3. Step 3: Cross multiply
    185,311.13x = 386,704.13 × 386,704.13
  4. Step 4: Simplify right side
    185,311.13x = 149,540,080,292.02
  5. Step 5: Solve for x
    x = 149,540,080,292.02/185,311.13
  6. Step 6: Final answer
    x = 806,967.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.