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Finding the Third Proportional to 197,232.75 and 426,006.75

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Solution

The third proportional to 197,232.75 and 426,006.75 is: 920,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,232.75 : 426,006.75 = 426,006.75 : x
  2. Step 2: Convert to fraction form
    197,232.75/426,006.75 = 426,006.75/x
  3. Step 3: Cross multiply
    197,232.75x = 426,006.75 × 426,006.75
  4. Step 4: Simplify right side
    197,232.75x = 181,481,751,045.56
  5. Step 5: Solve for x
    x = 181,481,751,045.56/197,232.75
  6. Step 6: Final answer
    x = 920,140.04

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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.