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Finding the Third Proportional to 177,378.50 and 260,880.75

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Solution

The third proportional to 177,378.50 and 260,880.75 is: 383,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,378.50 : 260,880.75 = 260,880.75 : x
  2. Step 2: Convert to fraction form
    177,378.50/260,880.75 = 260,880.75/x
  3. Step 3: Cross multiply
    177,378.50x = 260,880.75 × 260,880.75
  4. Step 4: Simplify right side
    177,378.50x = 68,058,765,720.56
  5. Step 5: Solve for x
    x = 68,058,765,720.56/177,378.50
  6. Step 6: Final answer
    x = 383,692.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.