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Finding the Third Proportional to 194,427 and 426,228.75

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Solution

The third proportional to 194,427 and 426,228.75 is: 934,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,427 : 426,228.75 = 426,228.75 : x
  2. Step 2: Convert to fraction form
    194,427/426,228.75 = 426,228.75/x
  3. Step 3: Cross multiply
    194,427x = 426,228.75 × 426,228.75
  4. Step 4: Simplify right side
    194,427x = 181,670,947,326.56
  5. Step 5: Solve for x
    x = 181,670,947,326.56/194,427
  6. Step 6: Final answer
    x = 934,391.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.