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Finding the Third Proportional to 193,590.84 and 419,357.53

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Solution

The third proportional to 193,590.84 and 419,357.53 is: 908,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,590.84 : 419,357.53 = 419,357.53 : x
  2. Step 2: Convert to fraction form
    193,590.84/419,357.53 = 419,357.53/x
  3. Step 3: Cross multiply
    193,590.84x = 419,357.53 × 419,357.53
  4. Step 4: Simplify right side
    193,590.84x = 175,860,739,016.10
  5. Step 5: Solve for x
    x = 175,860,739,016.10/193,590.84
  6. Step 6: Final answer
    x = 908,414.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.