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Finding the Third Proportional to 174,802.50 and 378,198

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Solution

The third proportional to 174,802.50 and 378,198 is: 818,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,802.50 : 378,198 = 378,198 : x
  2. Step 2: Convert to fraction form
    174,802.50/378,198 = 378,198/x
  3. Step 3: Cross multiply
    174,802.50x = 378,198 × 378,198
  4. Step 4: Simplify right side
    174,802.50x = 143,033,727,204
  5. Step 5: Solve for x
    x = 143,033,727,204/174,802.50
  6. Step 6: Final answer
    x = 818,259.05

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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.