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Finding the Third Proportional to 175,290.75 and 378,609.75

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Solution

The third proportional to 175,290.75 and 378,609.75 is: 817,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,290.75 : 378,609.75 = 378,609.75 : x
  2. Step 2: Convert to fraction form
    175,290.75/378,609.75 = 378,609.75/x
  3. Step 3: Cross multiply
    175,290.75x = 378,609.75 × 378,609.75
  4. Step 4: Simplify right side
    175,290.75x = 143,345,342,795.06
  5. Step 5: Solve for x
    x = 143,345,342,795.06/175,290.75
  6. Step 6: Final answer
    x = 817,757.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.