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Finding the Third Proportional to 151,584 and 327,296

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Solution

The third proportional to 151,584 and 327,296 is: 706,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,584 : 327,296 = 327,296 : x
  2. Step 2: Convert to fraction form
    151,584/327,296 = 327,296/x
  3. Step 3: Cross multiply
    151,584x = 327,296 × 327,296
  4. Step 4: Simplify right side
    151,584x = 107,122,671,616
  5. Step 5: Solve for x
    x = 107,122,671,616/151,584
  6. Step 6: Final answer
    x = 706,688.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.