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Finding the Third Proportional to 193,853.25 and 418,839.75

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Solution

The third proportional to 193,853.25 and 418,839.75 is: 904,946.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,853.25 : 418,839.75 = 418,839.75 : x
  2. Step 2: Convert to fraction form
    193,853.25/418,839.75 = 418,839.75/x
  3. Step 3: Cross multiply
    193,853.25x = 418,839.75 × 418,839.75
  4. Step 4: Simplify right side
    193,853.25x = 175,426,736,180.06
  5. Step 5: Solve for x
    x = 175,426,736,180.06/193,853.25
  6. Step 6: Final answer
    x = 904,946.07

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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.