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Finding the Third Proportional to 149,171.63 and 324,313.88

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Solution

The third proportional to 149,171.63 and 324,313.88 is: 705,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,171.63 : 324,313.88 = 324,313.88 : x
  2. Step 2: Convert to fraction form
    149,171.63/324,313.88 = 324,313.88/x
  3. Step 3: Cross multiply
    149,171.63x = 324,313.88 × 324,313.88
  4. Step 4: Simplify right side
    149,171.63x = 105,179,489,517.52
  5. Step 5: Solve for x
    x = 105,179,489,517.52/149,171.63
  6. Step 6: Final answer
    x = 705,090.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.