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Finding the Third Proportional to 143,075.44 and 227,748.75

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Solution

The third proportional to 143,075.44 and 227,748.75 is: 362,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,075.44 : 227,748.75 = 227,748.75 : x
  2. Step 2: Convert to fraction form
    143,075.44/227,748.75 = 227,748.75/x
  3. Step 3: Cross multiply
    143,075.44x = 227,748.75 × 227,748.75
  4. Step 4: Simplify right side
    143,075.44x = 51,869,493,126.56
  5. Step 5: Solve for x
    x = 51,869,493,126.56/143,075.44
  6. Step 6: Final answer
    x = 362,532.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.