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Finding the Third Proportional to 175,204 and 362,852

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Solution

The third proportional to 175,204 and 362,852 is: 751,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,204 : 362,852 = 362,852 : x
  2. Step 2: Convert to fraction form
    175,204/362,852 = 362,852/x
  3. Step 3: Cross multiply
    175,204x = 362,852 × 362,852
  4. Step 4: Simplify right side
    175,204x = 131,661,573,904
  5. Step 5: Solve for x
    x = 131,661,573,904/175,204
  6. Step 6: Final answer
    x = 751,475.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.