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Finding the Third Proportional to 190,256 and 409,946

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Solution

The third proportional to 190,256 and 409,946 is: 883,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,256 : 409,946 = 409,946 : x
  2. Step 2: Convert to fraction form
    190,256/409,946 = 409,946/x
  3. Step 3: Cross multiply
    190,256x = 409,946 × 409,946
  4. Step 4: Simplify right side
    190,256x = 168,055,722,916
  5. Step 5: Solve for x
    x = 168,055,722,916/190,256
  6. Step 6: Final answer
    x = 883,313.66

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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.