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Finding the Third Proportional to 180,123.75 and 260,880.75

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Solution

The third proportional to 180,123.75 and 260,880.75 is: 377,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,123.75 : 260,880.75 = 260,880.75 : x
  2. Step 2: Convert to fraction form
    180,123.75/260,880.75 = 260,880.75/x
  3. Step 3: Cross multiply
    180,123.75x = 260,880.75 × 260,880.75
  4. Step 4: Simplify right side
    180,123.75x = 68,058,765,720.56
  5. Step 5: Solve for x
    x = 68,058,765,720.56/180,123.75
  6. Step 6: Final answer
    x = 377,844.49

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.