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Finding the Third Proportional to 162,440 and 259,212

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Solution

The third proportional to 162,440 and 259,212 is: 413,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,440 : 259,212 = 259,212 : x
  2. Step 2: Convert to fraction form
    162,440/259,212 = 259,212/x
  3. Step 3: Cross multiply
    162,440x = 259,212 × 259,212
  4. Step 4: Simplify right side
    162,440x = 67,190,860,944
  5. Step 5: Solve for x
    x = 67,190,860,944/162,440
  6. Step 6: Final answer
    x = 413,634.95

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.