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Finding the Third Proportional to 307,225 and 470,193

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Solution

The third proportional to 307,225 and 470,193 is: 719,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,225 : 470,193 = 470,193 : x
  2. Step 2: Convert to fraction form
    307,225/470,193 = 470,193/x
  3. Step 3: Cross multiply
    307,225x = 470,193 × 470,193
  4. Step 4: Simplify right side
    307,225x = 221,081,457,249
  5. Step 5: Solve for x
    x = 221,081,457,249/307,225
  6. Step 6: Final answer
    x = 719,607.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.