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Finding the Third Proportional to 168,106 and 364,230

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Solution

The third proportional to 168,106 and 364,230 is: 789,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,106 : 364,230 = 364,230 : x
  2. Step 2: Convert to fraction form
    168,106/364,230 = 364,230/x
  3. Step 3: Cross multiply
    168,106x = 364,230 × 364,230
  4. Step 4: Simplify right side
    168,106x = 132,663,492,900
  5. Step 5: Solve for x
    x = 132,663,492,900/168,106
  6. Step 6: Final answer
    x = 789,165.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.