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Finding the Third Proportional to 168,308 and 362,860

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Solution

The third proportional to 168,308 and 362,860 is: 782,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,308 : 362,860 = 362,860 : x
  2. Step 2: Convert to fraction form
    168,308/362,860 = 362,860/x
  3. Step 3: Cross multiply
    168,308x = 362,860 × 362,860
  4. Step 4: Simplify right side
    168,308x = 131,667,379,600
  5. Step 5: Solve for x
    x = 131,667,379,600/168,308
  6. Step 6: Final answer
    x = 782,300.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.