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Finding the Third Proportional to 165,183 and 360,703

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Solution

The third proportional to 165,183 and 360,703 is: 787,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,183 : 360,703 = 360,703 : x
  2. Step 2: Convert to fraction form
    165,183/360,703 = 360,703/x
  3. Step 3: Cross multiply
    165,183x = 360,703 × 360,703
  4. Step 4: Simplify right side
    165,183x = 130,106,654,209
  5. Step 5: Solve for x
    x = 130,106,654,209/165,183
  6. Step 6: Final answer
    x = 787,651.60

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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.