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Finding the Third Proportional to 203,561 and 435,075

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Solution

The third proportional to 203,561 and 435,075 is: 929,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,561 : 435,075 = 435,075 : x
  2. Step 2: Convert to fraction form
    203,561/435,075 = 435,075/x
  3. Step 3: Cross multiply
    203,561x = 435,075 × 435,075
  4. Step 4: Simplify right side
    203,561x = 189,290,255,625
  5. Step 5: Solve for x
    x = 189,290,255,625/203,561
  6. Step 6: Final answer
    x = 929,894.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.