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Finding the Third Proportional to 165,212 and 362,086

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Solution

The third proportional to 165,212 and 362,086 is: 793,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,212 : 362,086 = 362,086 : x
  2. Step 2: Convert to fraction form
    165,212/362,086 = 362,086/x
  3. Step 3: Cross multiply
    165,212x = 362,086 × 362,086
  4. Step 4: Simplify right side
    165,212x = 131,106,271,396
  5. Step 5: Solve for x
    x = 131,106,271,396/165,212
  6. Step 6: Final answer
    x = 793,563.85

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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.