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Finding the Third Proportional to 117,556.88 and 176,334.75

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Solution

The third proportional to 117,556.88 and 176,334.75 is: 264,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,556.88 : 176,334.75 = 176,334.75 : x
  2. Step 2: Convert to fraction form
    117,556.88/176,334.75 = 176,334.75/x
  3. Step 3: Cross multiply
    117,556.88x = 176,334.75 × 176,334.75
  4. Step 4: Simplify right side
    117,556.88x = 31,093,944,057.56
  5. Step 5: Solve for x
    x = 31,093,944,057.56/117,556.88
  6. Step 6: Final answer
    x = 264,501.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.