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Finding the Third Proportional to 199,946 and 300,498

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Solution

The third proportional to 199,946 and 300,498 is: 451,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,946 : 300,498 = 300,498 : x
  2. Step 2: Convert to fraction form
    199,946/300,498 = 300,498/x
  3. Step 3: Cross multiply
    199,946x = 300,498 × 300,498
  4. Step 4: Simplify right side
    199,946x = 90,299,048,004
  5. Step 5: Solve for x
    x = 90,299,048,004/199,946
  6. Step 6: Final answer
    x = 451,617.18

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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.