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Finding the Third Proportional to 150,464 and 327,168

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Solution

The third proportional to 150,464 and 327,168 is: 711,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,464 : 327,168 = 327,168 : x
  2. Step 2: Convert to fraction form
    150,464/327,168 = 327,168/x
  3. Step 3: Cross multiply
    150,464x = 327,168 × 327,168
  4. Step 4: Simplify right side
    150,464x = 107,038,900,224
  5. Step 5: Solve for x
    x = 107,038,900,224/150,464
  6. Step 6: Final answer
    x = 711,392.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.