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Finding the Third Proportional to 162,324 and 329,112

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Solution

The third proportional to 162,324 and 329,112 is: 667,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,324 : 329,112 = 329,112 : x
  2. Step 2: Convert to fraction form
    162,324/329,112 = 329,112/x
  3. Step 3: Cross multiply
    162,324x = 329,112 × 329,112
  4. Step 4: Simplify right side
    162,324x = 108,314,708,544
  5. Step 5: Solve for x
    x = 108,314,708,544/162,324
  6. Step 6: Final answer
    x = 667,274.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.