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Finding the Third Proportional to 165,678 and 360,684

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Solution

The third proportional to 165,678 and 360,684 is: 785,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,678 : 360,684 = 360,684 : x
  2. Step 2: Convert to fraction form
    165,678/360,684 = 360,684/x
  3. Step 3: Cross multiply
    165,678x = 360,684 × 360,684
  4. Step 4: Simplify right side
    165,678x = 130,092,947,856
  5. Step 5: Solve for x
    x = 130,092,947,856/165,678
  6. Step 6: Final answer
    x = 785,215.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.