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Finding the Third Proportional to 190,731 and 288,551.25

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Solution

The third proportional to 190,731 and 288,551.25 is: 436,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,731 : 288,551.25 = 288,551.25 : x
  2. Step 2: Convert to fraction form
    190,731/288,551.25 = 288,551.25/x
  3. Step 3: Cross multiply
    190,731x = 288,551.25 × 288,551.25
  4. Step 4: Simplify right side
    190,731x = 83,261,823,876.56
  5. Step 5: Solve for x
    x = 83,261,823,876.56/190,731
  6. Step 6: Final answer
    x = 436,540.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.