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Finding the Third Proportional to 190,809 and 296,716.50

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Solution

The third proportional to 190,809 and 296,716.50 is: 461,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,809 : 296,716.50 = 296,716.50 : x
  2. Step 2: Convert to fraction form
    190,809/296,716.50 = 296,716.50/x
  3. Step 3: Cross multiply
    190,809x = 296,716.50 × 296,716.50
  4. Step 4: Simplify right side
    190,809x = 88,040,681,372.25
  5. Step 5: Solve for x
    x = 88,040,681,372.25/190,809
  6. Step 6: Final answer
    x = 461,407.38

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.