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Finding the Third Proportional to 165,675 and 360,678

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Solution

The third proportional to 165,675 and 360,678 is: 785,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,675 : 360,678 = 360,678 : x
  2. Step 2: Convert to fraction form
    165,675/360,678 = 360,678/x
  3. Step 3: Cross multiply
    165,675x = 360,678 × 360,678
  4. Step 4: Simplify right side
    165,675x = 130,088,619,684
  5. Step 5: Solve for x
    x = 130,088,619,684/165,675
  6. Step 6: Final answer
    x = 785,203.68

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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.