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Finding the Third Proportional to 226,196 and 470,995

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Solution

The third proportional to 226,196 and 470,995 is: 980,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,196 : 470,995 = 470,995 : x
  2. Step 2: Convert to fraction form
    226,196/470,995 = 470,995/x
  3. Step 3: Cross multiply
    226,196x = 470,995 × 470,995
  4. Step 4: Simplify right side
    226,196x = 221,836,290,025
  5. Step 5: Solve for x
    x = 221,836,290,025/226,196
  6. Step 6: Final answer
    x = 980,725.96

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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.