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Finding the Third Proportional to 201,222 and 282,029

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Solution

The third proportional to 201,222 and 282,029 is: 395,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,222 : 282,029 = 282,029 : x
  2. Step 2: Convert to fraction form
    201,222/282,029 = 282,029/x
  3. Step 3: Cross multiply
    201,222x = 282,029 × 282,029
  4. Step 4: Simplify right side
    201,222x = 79,540,356,841
  5. Step 5: Solve for x
    x = 79,540,356,841/201,222
  6. Step 6: Final answer
    x = 395,286.58

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.