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Finding the Third Proportional to 165,262 and 340,308

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Solution

The third proportional to 165,262 and 340,308 is: 700,763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,262 : 340,308 = 340,308 : x
  2. Step 2: Convert to fraction form
    165,262/340,308 = 340,308/x
  3. Step 3: Cross multiply
    165,262x = 340,308 × 340,308
  4. Step 4: Simplify right side
    165,262x = 115,809,534,864
  5. Step 5: Solve for x
    x = 115,809,534,864/165,262
  6. Step 6: Final answer
    x = 700,763.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.