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Finding the Third Proportional to 115,278.75 and 155,418.75

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Solution

The third proportional to 115,278.75 and 155,418.75 is: 209,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,278.75 : 155,418.75 = 155,418.75 : x
  2. Step 2: Convert to fraction form
    115,278.75/155,418.75 = 155,418.75/x
  3. Step 3: Cross multiply
    115,278.75x = 155,418.75 × 155,418.75
  4. Step 4: Simplify right side
    115,278.75x = 24,154,987,851.56
  5. Step 5: Solve for x
    x = 24,154,987,851.56/115,278.75
  6. Step 6: Final answer
    x = 209,535.48

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.