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Finding the Third Proportional to 168,308 and 362,858

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Solution

The third proportional to 168,308 and 362,858 is: 782,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,308 : 362,858 = 362,858 : x
  2. Step 2: Convert to fraction form
    168,308/362,858 = 362,858/x
  3. Step 3: Cross multiply
    168,308x = 362,858 × 362,858
  4. Step 4: Simplify right side
    168,308x = 131,665,928,164
  5. Step 5: Solve for x
    x = 131,665,928,164/168,308
  6. Step 6: Final answer
    x = 782,291.56

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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.