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Finding the Third Proportional to 225,739.13 and 470,161.13

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Solution

The third proportional to 225,739.13 and 470,161.13 is: 979,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,739.13 : 470,161.13 = 470,161.13 : x
  2. Step 2: Convert to fraction form
    225,739.13/470,161.13 = 470,161.13/x
  3. Step 3: Cross multiply
    225,739.13x = 470,161.13 × 470,161.13
  4. Step 4: Simplify right side
    225,739.13x = 221,051,483,461.27
  5. Step 5: Solve for x
    x = 221,051,483,461.27/225,739.13
  6. Step 6: Final answer
    x = 979,234.25

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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.