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Finding the Third Proportional to 228,158 and 470,770

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Solution

The third proportional to 228,158 and 470,770 is: 971,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,158 : 470,770 = 470,770 : x
  2. Step 2: Convert to fraction form
    228,158/470,770 = 470,770/x
  3. Step 3: Cross multiply
    228,158x = 470,770 × 470,770
  4. Step 4: Simplify right side
    228,158x = 221,624,392,900
  5. Step 5: Solve for x
    x = 221,624,392,900/228,158
  6. Step 6: Final answer
    x = 971,363.67

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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.