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Finding the Third Proportional to 225,739.50 and 470,161.50

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Solution

The third proportional to 225,739.50 and 470,161.50 is: 979,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,739.50 : 470,161.50 = 470,161.50 : x
  2. Step 2: Convert to fraction form
    225,739.50/470,161.50 = 470,161.50/x
  3. Step 3: Cross multiply
    225,739.50x = 470,161.50 × 470,161.50
  4. Step 4: Simplify right side
    225,739.50x = 221,051,836,082.25
  5. Step 5: Solve for x
    x = 221,051,836,082.25/225,739.50
  6. Step 6: Final answer
    x = 979,234.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.