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Finding the Third Proportional to 161,200.50 and 248,563.50

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Solution

The third proportional to 161,200.50 and 248,563.50 is: 383,273.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,200.50 : 248,563.50 = 248,563.50 : x
  2. Step 2: Convert to fraction form
    161,200.50/248,563.50 = 248,563.50/x
  3. Step 3: Cross multiply
    161,200.50x = 248,563.50 × 248,563.50
  4. Step 4: Simplify right side
    161,200.50x = 61,783,813,532.25
  5. Step 5: Solve for x
    x = 61,783,813,532.25/161,200.50
  6. Step 6: Final answer
    x = 383,273.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.