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Finding the Third Proportional to 201,230 and 422,044

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Solution

The third proportional to 201,230 and 422,044 is: 885,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,230 : 422,044 = 422,044 : x
  2. Step 2: Convert to fraction form
    201,230/422,044 = 422,044/x
  3. Step 3: Cross multiply
    201,230x = 422,044 × 422,044
  4. Step 4: Simplify right side
    201,230x = 178,121,137,936
  5. Step 5: Solve for x
    x = 178,121,137,936/201,230
  6. Step 6: Final answer
    x = 885,161.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.