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Finding the Third Proportional to 197,229.38 and 426,000.38

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Solution

The third proportional to 197,229.38 and 426,000.38 is: 920,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,229.38 : 426,000.38 = 426,000.38 : x
  2. Step 2: Convert to fraction form
    197,229.38/426,000.38 = 426,000.38/x
  3. Step 3: Cross multiply
    197,229.38x = 426,000.38 × 426,000.38
  4. Step 4: Simplify right side
    197,229.38x = 181,476,319,500.14
  5. Step 5: Solve for x
    x = 181,476,319,500.14/197,229.38
  6. Step 6: Final answer
    x = 920,128.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.