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Finding the Third Proportional to 162,321 and 354,165

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Solution

The third proportional to 162,321 and 354,165 is: 772,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,321 : 354,165 = 354,165 : x
  2. Step 2: Convert to fraction form
    162,321/354,165 = 354,165/x
  3. Step 3: Cross multiply
    162,321x = 354,165 × 354,165
  4. Step 4: Simplify right side
    162,321x = 125,432,847,225
  5. Step 5: Solve for x
    x = 125,432,847,225/162,321
  6. Step 6: Final answer
    x = 772,745.65

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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.