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Finding the Third Proportional to 149,313.38 and 324,866.25

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Solution

The third proportional to 149,313.38 and 324,866.25 is: 706,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,313.38 : 324,866.25 = 324,866.25 : x
  2. Step 2: Convert to fraction form
    149,313.38/324,866.25 = 324,866.25/x
  3. Step 3: Cross multiply
    149,313.38x = 324,866.25 × 324,866.25
  4. Step 4: Simplify right side
    149,313.38x = 105,538,080,389.06
  5. Step 5: Solve for x
    x = 105,538,080,389.06/149,313.38
  6. Step 6: Final answer
    x = 706,822.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.