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Finding the Third Proportional to 190,267 and 409,963

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Solution

The third proportional to 190,267 and 409,963 is: 883,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,267 : 409,963 = 409,963 : x
  2. Step 2: Convert to fraction form
    190,267/409,963 = 409,963/x
  3. Step 3: Cross multiply
    190,267x = 409,963 × 409,963
  4. Step 4: Simplify right side
    190,267x = 168,069,661,369
  5. Step 5: Solve for x
    x = 168,069,661,369/190,267
  6. Step 6: Final answer
    x = 883,335.85

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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.