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Finding the Third Proportional to 162,378 and 354,267

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Solution

The third proportional to 162,378 and 354,267 is: 772,919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,378 : 354,267 = 354,267 : x
  2. Step 2: Convert to fraction form
    162,378/354,267 = 354,267/x
  3. Step 3: Cross multiply
    162,378x = 354,267 × 354,267
  4. Step 4: Simplify right side
    162,378x = 125,505,107,289
  5. Step 5: Solve for x
    x = 125,505,107,289/162,378
  6. Step 6: Final answer
    x = 772,919.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.