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Finding the Third Proportional to 228,156 and 470,766

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Solution

The third proportional to 228,156 and 470,766 is: 971,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,156 : 470,766 = 470,766 : x
  2. Step 2: Convert to fraction form
    228,156/470,766 = 470,766/x
  3. Step 3: Cross multiply
    228,156x = 470,766 × 470,766
  4. Step 4: Simplify right side
    228,156x = 221,620,626,756
  5. Step 5: Solve for x
    x = 221,620,626,756/228,156
  6. Step 6: Final answer
    x = 971,355.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.