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Finding the Third Proportional to 201,288.50 and 434,103

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Solution

The third proportional to 201,288.50 and 434,103 is: 936,195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,288.50 : 434,103 = 434,103 : x
  2. Step 2: Convert to fraction form
    201,288.50/434,103 = 434,103/x
  3. Step 3: Cross multiply
    201,288.50x = 434,103 × 434,103
  4. Step 4: Simplify right side
    201,288.50x = 188,445,414,609
  5. Step 5: Solve for x
    x = 188,445,414,609/201,288.50
  6. Step 6: Final answer
    x = 936,195.63

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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.