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Finding the Third Proportional to 174,606.75 and 383,505

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Solution

The third proportional to 174,606.75 and 383,505 is: 842,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,606.75 : 383,505 = 383,505 : x
  2. Step 2: Convert to fraction form
    174,606.75/383,505 = 383,505/x
  3. Step 3: Cross multiply
    174,606.75x = 383,505 × 383,505
  4. Step 4: Simplify right side
    174,606.75x = 147,076,085,025
  5. Step 5: Solve for x
    x = 147,076,085,025/174,606.75
  6. Step 6: Final answer
    x = 842,327.60

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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.