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Finding the Third Proportional to 154,075.50 and 230,627.25

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Solution

The third proportional to 154,075.50 and 230,627.25 is: 345,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,075.50 : 230,627.25 = 230,627.25 : x
  2. Step 2: Convert to fraction form
    154,075.50/230,627.25 = 230,627.25/x
  3. Step 3: Cross multiply
    154,075.50x = 230,627.25 × 230,627.25
  4. Step 4: Simplify right side
    154,075.50x = 53,188,928,442.56
  5. Step 5: Solve for x
    x = 53,188,928,442.56/154,075.50
  6. Step 6: Final answer
    x = 345,213.41

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Why These Related Problems?

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