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Finding the Third Proportional to 190,812 and 411,288

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Solution

The third proportional to 190,812 and 411,288 is: 886,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,812 : 411,288 = 411,288 : x
  2. Step 2: Convert to fraction form
    190,812/411,288 = 411,288/x
  3. Step 3: Cross multiply
    190,812x = 411,288 × 411,288
  4. Step 4: Simplify right side
    190,812x = 169,157,818,944
  5. Step 5: Solve for x
    x = 169,157,818,944/190,812
  6. Step 6: Final answer
    x = 886,515.62

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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.