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Finding the Third Proportional to 226,103 and 470,813

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Solution

The third proportional to 226,103 and 470,813 is: 980,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,103 : 470,813 = 470,813 : x
  2. Step 2: Convert to fraction form
    226,103/470,813 = 470,813/x
  3. Step 3: Cross multiply
    226,103x = 470,813 × 470,813
  4. Step 4: Simplify right side
    226,103x = 221,664,880,969
  5. Step 5: Solve for x
    x = 221,664,880,969/226,103
  6. Step 6: Final answer
    x = 980,371.25

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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.