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Finding the Third Proportional to 168,112 and 364,222

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Solution

The third proportional to 168,112 and 364,222 is: 789,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,112 : 364,222 = 364,222 : x
  2. Step 2: Convert to fraction form
    168,112/364,222 = 364,222/x
  3. Step 3: Cross multiply
    168,112x = 364,222 × 364,222
  4. Step 4: Simplify right side
    168,112x = 132,657,665,284
  5. Step 5: Solve for x
    x = 132,657,665,284/168,112
  6. Step 6: Final answer
    x = 789,102.89

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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.