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Finding the Third Proportional to 199,827 and 299,133

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Solution

The third proportional to 199,827 and 299,133 is: 447,790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,827 : 299,133 = 299,133 : x
  2. Step 2: Convert to fraction form
    199,827/299,133 = 299,133/x
  3. Step 3: Cross multiply
    199,827x = 299,133 × 299,133
  4. Step 4: Simplify right side
    199,827x = 89,480,551,689
  5. Step 5: Solve for x
    x = 89,480,551,689/199,827
  6. Step 6: Final answer
    x = 447,790.10

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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.