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Finding the Third Proportional to 151,570 and 327,268

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Solution

The third proportional to 151,570 and 327,268 is: 706,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,570 : 327,268 = 327,268 : x
  2. Step 2: Convert to fraction form
    151,570/327,268 = 327,268/x
  3. Step 3: Cross multiply
    151,570x = 327,268 × 327,268
  4. Step 4: Simplify right side
    151,570x = 107,104,343,824
  5. Step 5: Solve for x
    x = 107,104,343,824/151,570
  6. Step 6: Final answer
    x = 706,632.87

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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.