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Finding the Third Proportional to 201,036 and 422,736

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Solution

The third proportional to 201,036 and 422,736 is: 888,924.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,036 : 422,736 = 422,736 : x
  2. Step 2: Convert to fraction form
    201,036/422,736 = 422,736/x
  3. Step 3: Cross multiply
    201,036x = 422,736 × 422,736
  4. Step 4: Simplify right side
    201,036x = 178,705,725,696
  5. Step 5: Solve for x
    x = 178,705,725,696/201,036
  6. Step 6: Final answer
    x = 888,924.00

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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.