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Finding the Third Proportional to 165,677 and 360,682

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Solution

The third proportional to 165,677 and 360,682 is: 785,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,677 : 360,682 = 360,682 : x
  2. Step 2: Convert to fraction form
    165,677/360,682 = 360,682/x
  3. Step 3: Cross multiply
    165,677x = 360,682 × 360,682
  4. Step 4: Simplify right side
    165,677x = 130,091,505,124
  5. Step 5: Solve for x
    x = 130,091,505,124/165,677
  6. Step 6: Final answer
    x = 785,211.62

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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.