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Finding the Third Proportional to 149,584 and 327,326

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Solution

The third proportional to 149,584 and 327,326 is: 716,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,584 : 327,326 = 327,326 : x
  2. Step 2: Convert to fraction form
    149,584/327,326 = 327,326/x
  3. Step 3: Cross multiply
    149,584x = 327,326 × 327,326
  4. Step 4: Simplify right side
    149,584x = 107,142,310,276
  5. Step 5: Solve for x
    x = 107,142,310,276/149,584
  6. Step 6: Final answer
    x = 716,268.52

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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.