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Finding the Third Proportional to 197,080.88 and 300,542.63

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Solution

The third proportional to 197,080.88 and 300,542.63 is: 458,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,080.88 : 300,542.63 = 300,542.63 : x
  2. Step 2: Convert to fraction form
    197,080.88/300,542.63 = 300,542.63/x
  3. Step 3: Cross multiply
    197,080.88x = 300,542.63 × 300,542.63
  4. Step 4: Simplify right side
    197,080.88x = 90,325,869,441.89
  5. Step 5: Solve for x
    x = 90,325,869,441.89/197,080.88
  6. Step 6: Final answer
    x = 458,318.80

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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.