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Finding the Third Proportional to 199,210 and 299,568

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Solution

The third proportional to 199,210 and 299,568 is: 450,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,210 : 299,568 = 299,568 : x
  2. Step 2: Convert to fraction form
    199,210/299,568 = 299,568/x
  3. Step 3: Cross multiply
    199,210x = 299,568 × 299,568
  4. Step 4: Simplify right side
    199,210x = 89,740,986,624
  5. Step 5: Solve for x
    x = 89,740,986,624/199,210
  6. Step 6: Final answer
    x = 450,484.35

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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.