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Finding the Third Proportional to 195,142.50 and 426,006

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Solution

The third proportional to 195,142.50 and 426,006 is: 929,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,142.50 : 426,006 = 426,006 : x
  2. Step 2: Convert to fraction form
    195,142.50/426,006 = 426,006/x
  3. Step 3: Cross multiply
    195,142.50x = 426,006 × 426,006
  4. Step 4: Simplify right side
    195,142.50x = 181,481,112,036
  5. Step 5: Solve for x
    x = 181,481,112,036/195,142.50
  6. Step 6: Final answer
    x = 929,992.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.