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Finding the Third Proportional to 193,441.50 and 426,114

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Solution

The third proportional to 193,441.50 and 426,114 is: 938,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,441.50 : 426,114 = 426,114 : x
  2. Step 2: Convert to fraction form
    193,441.50/426,114 = 426,114/x
  3. Step 3: Cross multiply
    193,441.50x = 426,114 × 426,114
  4. Step 4: Simplify right side
    193,441.50x = 181,573,140,996
  5. Step 5: Solve for x
    x = 181,573,140,996/193,441.50
  6. Step 6: Final answer
    x = 938,646.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.