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Finding the Third Proportional to 165,276 and 340,336

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Solution

The third proportional to 165,276 and 340,336 is: 700,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,276 : 340,336 = 340,336 : x
  2. Step 2: Convert to fraction form
    165,276/340,336 = 340,336/x
  3. Step 3: Cross multiply
    165,276x = 340,336 × 340,336
  4. Step 4: Simplify right side
    165,276x = 115,828,592,896
  5. Step 5: Solve for x
    x = 115,828,592,896/165,276
  6. Step 6: Final answer
    x = 700,819.19

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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.