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Finding the Third Proportional to 199,072 and 433,136

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Solution

The third proportional to 199,072 and 433,136 is: 942,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,072 : 433,136 = 433,136 : x
  2. Step 2: Convert to fraction form
    199,072/433,136 = 433,136/x
  3. Step 3: Cross multiply
    199,072x = 433,136 × 433,136
  4. Step 4: Simplify right side
    199,072x = 187,606,794,496
  5. Step 5: Solve for x
    x = 187,606,794,496/199,072
  6. Step 6: Final answer
    x = 942,406.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.