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Finding the Third Proportional to 199,136 and 437,638

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Solution

The third proportional to 199,136 and 437,638 is: 961,790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,136 : 437,638 = 437,638 : x
  2. Step 2: Convert to fraction form
    199,136/437,638 = 437,638/x
  3. Step 3: Cross multiply
    199,136x = 437,638 × 437,638
  4. Step 4: Simplify right side
    199,136x = 191,527,019,044
  5. Step 5: Solve for x
    x = 191,527,019,044/199,136
  6. Step 6: Final answer
    x = 961,790.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.