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Finding the Third Proportional to 150,964 and 323,068

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Solution

The third proportional to 150,964 and 323,068 is: 691,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,964 : 323,068 = 323,068 : x
  2. Step 2: Convert to fraction form
    150,964/323,068 = 323,068/x
  3. Step 3: Cross multiply
    150,964x = 323,068 × 323,068
  4. Step 4: Simplify right side
    150,964x = 104,372,932,624
  5. Step 5: Solve for x
    x = 104,372,932,624/150,964
  6. Step 6: Final answer
    x = 691,376.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.