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Finding the Third Proportional to 74,453.63 and 160,571.25

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Solution

The third proportional to 74,453.63 and 160,571.25 is: 346,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,453.63 : 160,571.25 = 160,571.25 : x
  2. Step 2: Convert to fraction form
    74,453.63/160,571.25 = 160,571.25/x
  3. Step 3: Cross multiply
    74,453.63x = 160,571.25 × 160,571.25
  4. Step 4: Simplify right side
    74,453.63x = 25,783,126,326.56
  5. Step 5: Solve for x
    x = 25,783,126,326.56/74,453.63
  6. Step 6: Final answer
    x = 346,297.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.