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Finding the Third Proportional to 165,726 and 360,983

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Solution

The third proportional to 165,726 and 360,983 is: 786,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,726 : 360,983 = 360,983 : x
  2. Step 2: Convert to fraction form
    165,726/360,983 = 360,983/x
  3. Step 3: Cross multiply
    165,726x = 360,983 × 360,983
  4. Step 4: Simplify right side
    165,726x = 130,308,726,289
  5. Step 5: Solve for x
    x = 130,308,726,289/165,726
  6. Step 6: Final answer
    x = 786,290.18

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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.