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Finding the Third Proportional to 199,394 and 284,399

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Solution

The third proportional to 199,394 and 284,399 is: 405,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,394 : 284,399 = 284,399 : x
  2. Step 2: Convert to fraction form
    199,394/284,399 = 284,399/x
  3. Step 3: Cross multiply
    199,394x = 284,399 × 284,399
  4. Step 4: Simplify right side
    199,394x = 80,882,791,201
  5. Step 5: Solve for x
    x = 80,882,791,201/199,394
  6. Step 6: Final answer
    x = 405,643.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.