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Finding the Third Proportional to 124,744.50 and 274,396.50

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Solution

The third proportional to 124,744.50 and 274,396.50 is: 603,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,744.50 : 274,396.50 = 274,396.50 : x
  2. Step 2: Convert to fraction form
    124,744.50/274,396.50 = 274,396.50/x
  3. Step 3: Cross multiply
    124,744.50x = 274,396.50 × 274,396.50
  4. Step 4: Simplify right side
    124,744.50x = 75,293,439,212.25
  5. Step 5: Solve for x
    x = 75,293,439,212.25/124,744.50
  6. Step 6: Final answer
    x = 603,581.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.