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Finding the Third Proportional to 165,181 and 360,699

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Solution

The third proportional to 165,181 and 360,699 is: 787,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,181 : 360,699 = 360,699 : x
  2. Step 2: Convert to fraction form
    165,181/360,699 = 360,699/x
  3. Step 3: Cross multiply
    165,181x = 360,699 × 360,699
  4. Step 4: Simplify right side
    165,181x = 130,103,768,601
  5. Step 5: Solve for x
    x = 130,103,768,601/165,181
  6. Step 6: Final answer
    x = 787,643.67

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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.