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Finding the Third Proportional to 149,662 and 327,476

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Solution

The third proportional to 149,662 and 327,476 is: 716,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,662 : 327,476 = 327,476 : x
  2. Step 2: Convert to fraction form
    149,662/327,476 = 327,476/x
  3. Step 3: Cross multiply
    149,662x = 327,476 × 327,476
  4. Step 4: Simplify right side
    149,662x = 107,240,530,576
  5. Step 5: Solve for x
    x = 107,240,530,576/149,662
  6. Step 6: Final answer
    x = 716,551.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.