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Finding the Third Proportional to 198,900 and 300,270

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Solution

The third proportional to 198,900 and 300,270 is: 453,303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,900 : 300,270 = 300,270 : x
  2. Step 2: Convert to fraction form
    198,900/300,270 = 300,270/x
  3. Step 3: Cross multiply
    198,900x = 300,270 × 300,270
  4. Step 4: Simplify right side
    198,900x = 90,162,072,900
  5. Step 5: Solve for x
    x = 90,162,072,900/198,900
  6. Step 6: Final answer
    x = 453,303.53

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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.