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Finding the Third Proportional to 199,596 and 299,370

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Solution

The third proportional to 199,596 and 299,370 is: 449,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,596 : 299,370 = 299,370 : x
  2. Step 2: Convert to fraction form
    199,596/299,370 = 299,370/x
  3. Step 3: Cross multiply
    199,596x = 299,370 × 299,370
  4. Step 4: Simplify right side
    199,596x = 89,622,396,900
  5. Step 5: Solve for x
    x = 89,622,396,900/199,596
  6. Step 6: Final answer
    x = 449,019.00

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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.