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Finding the Third Proportional to 190,947 and 420,015

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Solution

The third proportional to 190,947 and 420,015 is: 923,882.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,947 : 420,015 = 420,015 : x
  2. Step 2: Convert to fraction form
    190,947/420,015 = 420,015/x
  3. Step 3: Cross multiply
    190,947x = 420,015 × 420,015
  4. Step 4: Simplify right side
    190,947x = 176,412,600,225
  5. Step 5: Solve for x
    x = 176,412,600,225/190,947
  6. Step 6: Final answer
    x = 923,882.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.