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Finding the Third Proportional to 190,942 and 411,392

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Solution

The third proportional to 190,942 and 411,392 is: 886,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,942 : 411,392 = 411,392 : x
  2. Step 2: Convert to fraction form
    190,942/411,392 = 411,392/x
  3. Step 3: Cross multiply
    190,942x = 411,392 × 411,392
  4. Step 4: Simplify right side
    190,942x = 169,243,377,664
  5. Step 5: Solve for x
    x = 169,243,377,664/190,942
  6. Step 6: Final answer
    x = 886,360.14

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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.