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Finding the Third Proportional to 190,896 and 413,256

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Solution

The third proportional to 190,896 and 413,256 is: 894,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,896 : 413,256 = 413,256 : x
  2. Step 2: Convert to fraction form
    190,896/413,256 = 413,256/x
  3. Step 3: Cross multiply
    190,896x = 413,256 × 413,256
  4. Step 4: Simplify right side
    190,896x = 170,780,521,536
  5. Step 5: Solve for x
    x = 170,780,521,536/190,896
  6. Step 6: Final answer
    x = 894,625.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.