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Finding the Third Proportional to 168,051 and 362,844

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Solution

The third proportional to 168,051 and 362,844 is: 783,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,051 : 362,844 = 362,844 : x
  2. Step 2: Convert to fraction form
    168,051/362,844 = 362,844/x
  3. Step 3: Cross multiply
    168,051x = 362,844 × 362,844
  4. Step 4: Simplify right side
    168,051x = 131,655,768,336
  5. Step 5: Solve for x
    x = 131,655,768,336/168,051
  6. Step 6: Final answer
    x = 783,427.46

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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.