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Finding the Third Proportional to 199,191 and 308,425.50

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Solution

The third proportional to 199,191 and 308,425.50 is: 477,563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,191 : 308,425.50 = 308,425.50 : x
  2. Step 2: Convert to fraction form
    199,191/308,425.50 = 308,425.50/x
  3. Step 3: Cross multiply
    199,191x = 308,425.50 × 308,425.50
  4. Step 4: Simplify right side
    199,191x = 95,126,289,050.25
  5. Step 5: Solve for x
    x = 95,126,289,050.25/199,191
  6. Step 6: Final answer
    x = 477,563.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.