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Finding the Third Proportional to 143,347 and 215,075

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Solution

The third proportional to 143,347 and 215,075 is: 322,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,347 : 215,075 = 215,075 : x
  2. Step 2: Convert to fraction form
    143,347/215,075 = 215,075/x
  3. Step 3: Cross multiply
    143,347x = 215,075 × 215,075
  4. Step 4: Simplify right side
    143,347x = 46,257,255,625
  5. Step 5: Solve for x
    x = 46,257,255,625/143,347
  6. Step 6: Final answer
    x = 322,694.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.