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Finding the Third Proportional to 196,737 and 422,148

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Solution

The third proportional to 196,737 and 422,148 is: 905,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,737 : 422,148 = 422,148 : x
  2. Step 2: Convert to fraction form
    196,737/422,148 = 422,148/x
  3. Step 3: Cross multiply
    196,737x = 422,148 × 422,148
  4. Step 4: Simplify right side
    196,737x = 178,208,933,904
  5. Step 5: Solve for x
    x = 178,208,933,904/196,737
  6. Step 6: Final answer
    x = 905,823.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.