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Finding the Third Proportional to 195,225.82 and 427,843.27

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Solution

The third proportional to 195,225.82 and 427,843.27 is: 937,631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,225.82 : 427,843.27 = 427,843.27 : x
  2. Step 2: Convert to fraction form
    195,225.82/427,843.27 = 427,843.27/x
  3. Step 3: Cross multiply
    195,225.82x = 427,843.27 × 427,843.27
  4. Step 4: Simplify right side
    195,225.82x = 183,049,859,940.66
  5. Step 5: Solve for x
    x = 183,049,859,940.66/195,225.82
  6. Step 6: Final answer
    x = 937,631.40

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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.