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Finding the Third Proportional to 221,173.50 and 483,744.75

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Solution

The third proportional to 221,173.50 and 483,744.75 is: 1,058,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,173.50 : 483,744.75 = 483,744.75 : x
  2. Step 2: Convert to fraction form
    221,173.50/483,744.75 = 483,744.75/x
  3. Step 3: Cross multiply
    221,173.50x = 483,744.75 × 483,744.75
  4. Step 4: Simplify right side
    221,173.50x = 234,008,983,152.56
  5. Step 5: Solve for x
    x = 234,008,983,152.56/221,173.50
  6. Step 6: Final answer
    x = 1,058,033.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.