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Finding the Third Proportional to 201,195 and 434,004

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Solution

The third proportional to 201,195 and 434,004 is: 936,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,195 : 434,004 = 434,004 : x
  2. Step 2: Convert to fraction form
    201,195/434,004 = 434,004/x
  3. Step 3: Cross multiply
    201,195x = 434,004 × 434,004
  4. Step 4: Simplify right side
    201,195x = 188,359,472,016
  5. Step 5: Solve for x
    x = 188,359,472,016/201,195
  6. Step 6: Final answer
    x = 936,203.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.