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Finding the Third Proportional to 149,615 and 327,382

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Solution

The third proportional to 149,615 and 327,382 is: 716,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,615 : 327,382 = 327,382 : x
  2. Step 2: Convert to fraction form
    149,615/327,382 = 327,382/x
  3. Step 3: Cross multiply
    149,615x = 327,382 × 327,382
  4. Step 4: Simplify right side
    149,615x = 107,178,973,924
  5. Step 5: Solve for x
    x = 107,178,973,924/149,615
  6. Step 6: Final answer
    x = 716,365.16

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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.