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Finding the Third Proportional to 201,824 and 288,074

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Solution

The third proportional to 201,824 and 288,074 is: 411,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,824 : 288,074 = 288,074 : x
  2. Step 2: Convert to fraction form
    201,824/288,074 = 288,074/x
  3. Step 3: Cross multiply
    201,824x = 288,074 × 288,074
  4. Step 4: Simplify right side
    201,824x = 82,986,629,476
  5. Step 5: Solve for x
    x = 82,986,629,476/201,824
  6. Step 6: Final answer
    x = 411,183.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.