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Finding the Third Proportional to 175,751.25 and 363,969.75

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Solution

The third proportional to 175,751.25 and 363,969.75 is: 753,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,751.25 : 363,969.75 = 363,969.75 : x
  2. Step 2: Convert to fraction form
    175,751.25/363,969.75 = 363,969.75/x
  3. Step 3: Cross multiply
    175,751.25x = 363,969.75 × 363,969.75
  4. Step 4: Simplify right side
    175,751.25x = 132,473,978,915.06
  5. Step 5: Solve for x
    x = 132,473,978,915.06/175,751.25
  6. Step 6: Final answer
    x = 753,758.39

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