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Finding the Third Proportional to 175,804 and 364,063

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Solution

The third proportional to 175,804 and 364,063 is: 753,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,804 : 364,063 = 364,063 : x
  2. Step 2: Convert to fraction form
    175,804/364,063 = 364,063/x
  3. Step 3: Cross multiply
    175,804x = 364,063 × 364,063
  4. Step 4: Simplify right side
    175,804x = 132,541,867,969
  5. Step 5: Solve for x
    x = 132,541,867,969/175,804
  6. Step 6: Final answer
    x = 753,918.39

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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.