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Finding the Third Proportional to 194,230.50 and 427,005

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Solution

The third proportional to 194,230.50 and 427,005 is: 938,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,230.50 : 427,005 = 427,005 : x
  2. Step 2: Convert to fraction form
    194,230.50/427,005 = 427,005/x
  3. Step 3: Cross multiply
    194,230.50x = 427,005 × 427,005
  4. Step 4: Simplify right side
    194,230.50x = 182,333,270,025
  5. Step 5: Solve for x
    x = 182,333,270,025/194,230.50
  6. Step 6: Final answer
    x = 938,746.85

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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.