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Finding the Third Proportional to 149,583 and 327,324

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Solution

The third proportional to 149,583 and 327,324 is: 716,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,583 : 327,324 = 327,324 : x
  2. Step 2: Convert to fraction form
    149,583/327,324 = 327,324/x
  3. Step 3: Cross multiply
    149,583x = 327,324 × 327,324
  4. Step 4: Simplify right side
    149,583x = 107,141,000,976
  5. Step 5: Solve for x
    x = 107,141,000,976/149,583
  6. Step 6: Final answer
    x = 716,264.56

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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.