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Finding the Third Proportional to 190,170 and 409,824

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Solution

The third proportional to 190,170 and 409,824 is: 883,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,170 : 409,824 = 409,824 : x
  2. Step 2: Convert to fraction form
    190,170/409,824 = 409,824/x
  3. Step 3: Cross multiply
    190,170x = 409,824 × 409,824
  4. Step 4: Simplify right side
    190,170x = 167,955,710,976
  5. Step 5: Solve for x
    x = 167,955,710,976/190,170
  6. Step 6: Final answer
    x = 883,187.21

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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.