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Finding the Third Proportional to 180,103.75 and 416,907.63

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Solution

The third proportional to 180,103.75 and 416,907.63 is: 965,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,103.75 : 416,907.63 = 416,907.63 : x
  2. Step 2: Convert to fraction form
    180,103.75/416,907.63 = 416,907.63/x
  3. Step 3: Cross multiply
    180,103.75x = 416,907.63 × 416,907.63
  4. Step 4: Simplify right side
    180,103.75x = 173,811,967,783.14
  5. Step 5: Solve for x
    x = 173,811,967,783.14/180,103.75
  6. Step 6: Final answer
    x = 965,065.79

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.