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Finding the Third Proportional to 168,242 and 369,220

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Solution

The third proportional to 168,242 and 369,220 is: 810,281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,242 : 369,220 = 369,220 : x
  2. Step 2: Convert to fraction form
    168,242/369,220 = 369,220/x
  3. Step 3: Cross multiply
    168,242x = 369,220 × 369,220
  4. Step 4: Simplify right side
    168,242x = 136,323,408,400
  5. Step 5: Solve for x
    x = 136,323,408,400/168,242
  6. Step 6: Final answer
    x = 810,281.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.