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Finding the Third Proportional to 190,215 and 409,863

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Solution

The third proportional to 190,215 and 409,863 is: 883,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,215 : 409,863 = 409,863 : x
  2. Step 2: Convert to fraction form
    190,215/409,863 = 409,863/x
  3. Step 3: Cross multiply
    190,215x = 409,863 × 409,863
  4. Step 4: Simplify right side
    190,215x = 167,987,678,769
  5. Step 5: Solve for x
    x = 167,987,678,769/190,215
  6. Step 6: Final answer
    x = 883,146.33

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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.