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Finding the Third Proportional to 201,751 and 434,624

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Solution

The third proportional to 201,751 and 434,624 is: 936,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,751 : 434,624 = 434,624 : x
  2. Step 2: Convert to fraction form
    201,751/434,624 = 434,624/x
  3. Step 3: Cross multiply
    201,751x = 434,624 × 434,624
  4. Step 4: Simplify right side
    201,751x = 188,898,021,376
  5. Step 5: Solve for x
    x = 188,898,021,376/201,751
  6. Step 6: Final answer
    x = 936,292.86

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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.