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Finding the Third Proportional to 226,102 and 470,810

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Solution

The third proportional to 226,102 and 470,810 is: 980,363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,102 : 470,810 = 470,810 : x
  2. Step 2: Convert to fraction form
    226,102/470,810 = 470,810/x
  3. Step 3: Cross multiply
    226,102x = 470,810 × 470,810
  4. Step 4: Simplify right side
    226,102x = 221,662,056,100
  5. Step 5: Solve for x
    x = 221,662,056,100/226,102
  6. Step 6: Final answer
    x = 980,363.09

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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.