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Finding the Third Proportional to 168,436 and 360,207

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Solution

The third proportional to 168,436 and 360,207 is: 770,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,436 : 360,207 = 360,207 : x
  2. Step 2: Convert to fraction form
    168,436/360,207 = 360,207/x
  3. Step 3: Cross multiply
    168,436x = 360,207 × 360,207
  4. Step 4: Simplify right side
    168,436x = 129,749,082,849
  5. Step 5: Solve for x
    x = 129,749,082,849/168,436
  6. Step 6: Final answer
    x = 770,316.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.