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Finding the Third Proportional to 201,344 and 282,190

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Solution

The third proportional to 201,344 and 282,190 is: 395,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,344 : 282,190 = 282,190 : x
  2. Step 2: Convert to fraction form
    201,344/282,190 = 282,190/x
  3. Step 3: Cross multiply
    201,344x = 282,190 × 282,190
  4. Step 4: Simplify right side
    201,344x = 79,631,196,100
  5. Step 5: Solve for x
    x = 79,631,196,100/201,344
  6. Step 6: Final answer
    x = 395,498.23

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Why These Related Problems?

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