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Finding the Third Proportional to 199,008 and 315,112

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Solution

The third proportional to 199,008 and 315,112 is: 498,952.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,008 : 315,112 = 315,112 : x
  2. Step 2: Convert to fraction form
    199,008/315,112 = 315,112/x
  3. Step 3: Cross multiply
    199,008x = 315,112 × 315,112
  4. Step 4: Simplify right side
    199,008x = 99,295,572,544
  5. Step 5: Solve for x
    x = 99,295,572,544/199,008
  6. Step 6: Final answer
    x = 498,952.67

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.