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Finding the Third Proportional to 190,257 and 409,947

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Solution

The third proportional to 190,257 and 409,947 is: 883,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,257 : 409,947 = 409,947 : x
  2. Step 2: Convert to fraction form
    190,257/409,947 = 409,947/x
  3. Step 3: Cross multiply
    190,257x = 409,947 × 409,947
  4. Step 4: Simplify right side
    190,257x = 168,056,542,809
  5. Step 5: Solve for x
    x = 168,056,542,809/190,257
  6. Step 6: Final answer
    x = 883,313.32

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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.