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Finding the Third Proportional to 189,866 and 409,108

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Solution

The third proportional to 189,866 and 409,108 is: 881,513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,866 : 409,108 = 409,108 : x
  2. Step 2: Convert to fraction form
    189,866/409,108 = 409,108/x
  3. Step 3: Cross multiply
    189,866x = 409,108 × 409,108
  4. Step 4: Simplify right side
    189,866x = 167,369,355,664
  5. Step 5: Solve for x
    x = 167,369,355,664/189,866
  6. Step 6: Final answer
    x = 881,513.04

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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.