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Finding the Third Proportional to 190,767 and 411,057

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Solution

The third proportional to 190,767 and 411,057 is: 885,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,767 : 411,057 = 411,057 : x
  2. Step 2: Convert to fraction form
    190,767/411,057 = 411,057/x
  3. Step 3: Cross multiply
    190,767x = 411,057 × 411,057
  4. Step 4: Simplify right side
    190,767x = 168,967,857,249
  5. Step 5: Solve for x
    x = 168,967,857,249/190,767
  6. Step 6: Final answer
    x = 885,728.96

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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.