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Finding the Third Proportional to 201,474 and 434,423.25

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Solution

The third proportional to 201,474 and 434,423.25 is: 936,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,474 : 434,423.25 = 434,423.25 : x
  2. Step 2: Convert to fraction form
    201,474/434,423.25 = 434,423.25/x
  3. Step 3: Cross multiply
    201,474x = 434,423.25 × 434,423.25
  4. Step 4: Simplify right side
    201,474x = 188,723,560,140.56
  5. Step 5: Solve for x
    x = 188,723,560,140.56/201,474
  6. Step 6: Final answer
    x = 936,714.22

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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.