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Finding the Third Proportional to 201,226 and 282,014

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Solution

The third proportional to 201,226 and 282,014 is: 395,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,226 : 282,014 = 282,014 : x
  2. Step 2: Convert to fraction form
    201,226/282,014 = 282,014/x
  3. Step 3: Cross multiply
    201,226x = 282,014 × 282,014
  4. Step 4: Simplify right side
    201,226x = 79,531,896,196
  5. Step 5: Solve for x
    x = 79,531,896,196/201,226
  6. Step 6: Final answer
    x = 395,236.68

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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.