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Finding the Third Proportional to 174,203.25 and 381,622.50

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Solution

The third proportional to 174,203.25 and 381,622.50 is: 836,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,203.25 : 381,622.50 = 381,622.50 : x
  2. Step 2: Convert to fraction form
    174,203.25/381,622.50 = 381,622.50/x
  3. Step 3: Cross multiply
    174,203.25x = 381,622.50 × 381,622.50
  4. Step 4: Simplify right side
    174,203.25x = 145,635,732,506.25
  5. Step 5: Solve for x
    x = 145,635,732,506.25/174,203.25
  6. Step 6: Final answer
    x = 836,010.42

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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.