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Finding the Third Proportional to 196,688 and 422,050

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Solution

The third proportional to 196,688 and 422,050 is: 905,628.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,688 : 422,050 = 422,050 : x
  2. Step 2: Convert to fraction form
    196,688/422,050 = 422,050/x
  3. Step 3: Cross multiply
    196,688x = 422,050 × 422,050
  4. Step 4: Simplify right side
    196,688x = 178,126,202,500
  5. Step 5: Solve for x
    x = 178,126,202,500/196,688
  6. Step 6: Final answer
    x = 905,628.22

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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.