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Finding the Third Proportional to 190,512 and 413,100

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Solution

The third proportional to 190,512 and 413,100 is: 895,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,512 : 413,100 = 413,100 : x
  2. Step 2: Convert to fraction form
    190,512/413,100 = 413,100/x
  3. Step 3: Cross multiply
    190,512x = 413,100 × 413,100
  4. Step 4: Simplify right side
    190,512x = 170,651,610,000
  5. Step 5: Solve for x
    x = 170,651,610,000/190,512
  6. Step 6: Final answer
    x = 895,752.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.