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Finding the Third Proportional to 198,133 and 300,984

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Solution

The third proportional to 198,133 and 300,984 is: 457,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,133 : 300,984 = 300,984 : x
  2. Step 2: Convert to fraction form
    198,133/300,984 = 300,984/x
  3. Step 3: Cross multiply
    198,133x = 300,984 × 300,984
  4. Step 4: Simplify right side
    198,133x = 90,591,368,256
  5. Step 5: Solve for x
    x = 90,591,368,256/198,133
  6. Step 6: Final answer
    x = 457,225.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.