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Finding the Third Proportional to 225,732 and 470,147

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Solution

The third proportional to 225,732 and 470,147 is: 979,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,732 : 470,147 = 470,147 : x
  2. Step 2: Convert to fraction form
    225,732/470,147 = 470,147/x
  3. Step 3: Cross multiply
    225,732x = 470,147 × 470,147
  4. Step 4: Simplify right side
    225,732x = 221,038,201,609
  5. Step 5: Solve for x
    x = 221,038,201,609/225,732
  6. Step 6: Final answer
    x = 979,206.32

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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.