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Finding the Third Proportional to 201,824 and 288,075

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Solution

The third proportional to 201,824 and 288,075 is: 411,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,824 : 288,075 = 288,075 : x
  2. Step 2: Convert to fraction form
    201,824/288,075 = 288,075/x
  3. Step 3: Cross multiply
    201,824x = 288,075 × 288,075
  4. Step 4: Simplify right side
    201,824x = 82,987,205,625
  5. Step 5: Solve for x
    x = 82,987,205,625/201,824
  6. Step 6: Final answer
    x = 411,186.01

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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.