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Finding the Third Proportional to 199,206 and 299,562

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Solution

The third proportional to 199,206 and 299,562 is: 450,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,206 : 299,562 = 299,562 : x
  2. Step 2: Convert to fraction form
    199,206/299,562 = 299,562/x
  3. Step 3: Cross multiply
    199,206x = 299,562 × 299,562
  4. Step 4: Simplify right side
    199,206x = 89,737,391,844
  5. Step 5: Solve for x
    x = 89,737,391,844/199,206
  6. Step 6: Final answer
    x = 450,475.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.