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Finding the Third Proportional to 168,819 and 360,237

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Solution

The third proportional to 168,819 and 360,237 is: 768,697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,819 : 360,237 = 360,237 : x
  2. Step 2: Convert to fraction form
    168,819/360,237 = 360,237/x
  3. Step 3: Cross multiply
    168,819x = 360,237 × 360,237
  4. Step 4: Simplify right side
    168,819x = 129,770,696,169
  5. Step 5: Solve for x
    x = 129,770,696,169/168,819
  6. Step 6: Final answer
    x = 768,697.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.