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Finding the Third Proportional to 201,716 and 434,554

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Solution

The third proportional to 201,716 and 434,554 is: 936,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,716 : 434,554 = 434,554 : x
  2. Step 2: Convert to fraction form
    201,716/434,554 = 434,554/x
  3. Step 3: Cross multiply
    201,716x = 434,554 × 434,554
  4. Step 4: Simplify right side
    201,716x = 188,837,178,916
  5. Step 5: Solve for x
    x = 188,837,178,916/201,716
  6. Step 6: Final answer
    x = 936,153.70

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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.