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Finding the Third Proportional to 199,193.07 and 300,297.90

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Solution

The third proportional to 199,193.07 and 300,297.90 is: 452,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,193.07 : 300,297.90 = 300,297.90 : x
  2. Step 2: Convert to fraction form
    199,193.07/300,297.90 = 300,297.90/x
  3. Step 3: Cross multiply
    199,193.07x = 300,297.90 × 300,297.90
  4. Step 4: Simplify right side
    199,193.07x = 90,178,828,172.55
  5. Step 5: Solve for x
    x = 90,178,828,172.55/199,193.07
  6. Step 6: Final answer
    x = 452,720.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.