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Finding the Third Proportional to 149,602 and 327,356

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Solution

The third proportional to 149,602 and 327,356 is: 716,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,602 : 327,356 = 327,356 : x
  2. Step 2: Convert to fraction form
    149,602/327,356 = 327,356/x
  3. Step 3: Cross multiply
    149,602x = 327,356 × 327,356
  4. Step 4: Simplify right side
    149,602x = 107,161,950,736
  5. Step 5: Solve for x
    x = 107,161,950,736/149,602
  6. Step 6: Final answer
    x = 716,313.62

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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.