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Finding the Third Proportional to 201,595 and 433,075

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Solution

The third proportional to 201,595 and 433,075 is: 930,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,595 : 433,075 = 433,075 : x
  2. Step 2: Convert to fraction form
    201,595/433,075 = 433,075/x
  3. Step 3: Cross multiply
    201,595x = 433,075 × 433,075
  4. Step 4: Simplify right side
    201,595x = 187,553,955,625
  5. Step 5: Solve for x
    x = 187,553,955,625/201,595
  6. Step 6: Final answer
    x = 930,350.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.