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Finding the Third Proportional to 152,294 and 327,268

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Solution

The third proportional to 152,294 and 327,268 is: 703,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,294 : 327,268 = 327,268 : x
  2. Step 2: Convert to fraction form
    152,294/327,268 = 327,268/x
  3. Step 3: Cross multiply
    152,294x = 327,268 × 327,268
  4. Step 4: Simplify right side
    152,294x = 107,104,343,824
  5. Step 5: Solve for x
    x = 107,104,343,824/152,294
  6. Step 6: Final answer
    x = 703,273.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.