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Finding the Third Proportional to 174,841.50 and 383,946

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Solution

The third proportional to 174,841.50 and 383,946 is: 843,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,841.50 : 383,946 = 383,946 : x
  2. Step 2: Convert to fraction form
    174,841.50/383,946 = 383,946/x
  3. Step 3: Cross multiply
    174,841.50x = 383,946 × 383,946
  4. Step 4: Simplify right side
    174,841.50x = 147,414,530,916
  5. Step 5: Solve for x
    x = 147,414,530,916/174,841.50
  6. Step 6: Final answer
    x = 843,132.39

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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.