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Finding the Third Proportional to 202,212 and 440,097

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Solution

The third proportional to 202,212 and 440,097 is: 957,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,212 : 440,097 = 440,097 : x
  2. Step 2: Convert to fraction form
    202,212/440,097 = 440,097/x
  3. Step 3: Cross multiply
    202,212x = 440,097 × 440,097
  4. Step 4: Simplify right side
    202,212x = 193,685,369,409
  5. Step 5: Solve for x
    x = 193,685,369,409/202,212
  6. Step 6: Final answer
    x = 957,833.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.