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Finding the Third Proportional to 168,963 and 362,886

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Solution

The third proportional to 168,963 and 362,886 is: 779,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,963 : 362,886 = 362,886 : x
  2. Step 2: Convert to fraction form
    168,963/362,886 = 362,886/x
  3. Step 3: Cross multiply
    168,963x = 362,886 × 362,886
  4. Step 4: Simplify right side
    168,963x = 131,686,248,996
  5. Step 5: Solve for x
    x = 131,686,248,996/168,963
  6. Step 6: Final answer
    x = 779,379.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.