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Finding the Third Proportional to 151,911 and 327,168

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Solution

The third proportional to 151,911 and 327,168 is: 704,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,911 : 327,168 = 327,168 : x
  2. Step 2: Convert to fraction form
    151,911/327,168 = 327,168/x
  3. Step 3: Cross multiply
    151,911x = 327,168 × 327,168
  4. Step 4: Simplify right side
    151,911x = 107,038,900,224
  5. Step 5: Solve for x
    x = 107,038,900,224/151,911
  6. Step 6: Final answer
    x = 704,615.86

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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.