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Finding the Third Proportional to 149,724 and 327,582

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Solution

The third proportional to 149,724 and 327,582 is: 716,718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,724 : 327,582 = 327,582 : x
  2. Step 2: Convert to fraction form
    149,724/327,582 = 327,582/x
  3. Step 3: Cross multiply
    149,724x = 327,582 × 327,582
  4. Step 4: Simplify right side
    149,724x = 107,309,966,724
  5. Step 5: Solve for x
    x = 107,309,966,724/149,724
  6. Step 6: Final answer
    x = 716,718.54

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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.