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Finding the Third Proportional to 160,075.50 and 231,849

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Solution

The third proportional to 160,075.50 and 231,849 is: 335,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,075.50 : 231,849 = 231,849 : x
  2. Step 2: Convert to fraction form
    160,075.50/231,849 = 231,849/x
  3. Step 3: Cross multiply
    160,075.50x = 231,849 × 231,849
  4. Step 4: Simplify right side
    160,075.50x = 53,753,958,801
  5. Step 5: Solve for x
    x = 53,753,958,801/160,075.50
  6. Step 6: Final answer
    x = 335,803.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.