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Finding the Third Proportional to 185,434.88 and 397,113.75

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Solution

The third proportional to 185,434.88 and 397,113.75 is: 850,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,434.88 : 397,113.75 = 397,113.75 : x
  2. Step 2: Convert to fraction form
    185,434.88/397,113.75 = 397,113.75/x
  3. Step 3: Cross multiply
    185,434.88x = 397,113.75 × 397,113.75
  4. Step 4: Simplify right side
    185,434.88x = 157,699,330,439.06
  5. Step 5: Solve for x
    x = 157,699,330,439.06/185,434.88
  6. Step 6: Final answer
    x = 850,429.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.