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Finding the Third Proportional to 190,977.75 and 402,867

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Solution

The third proportional to 190,977.75 and 402,867 is: 849,846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,977.75 : 402,867 = 402,867 : x
  2. Step 2: Convert to fraction form
    190,977.75/402,867 = 402,867/x
  3. Step 3: Cross multiply
    190,977.75x = 402,867 × 402,867
  4. Step 4: Simplify right side
    190,977.75x = 162,301,819,689
  5. Step 5: Solve for x
    x = 162,301,819,689/190,977.75
  6. Step 6: Final answer
    x = 849,846.75

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.