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Finding the Third Proportional to 177,735.75 and 288,759.75

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Solution

The third proportional to 177,735.75 and 288,759.75 is: 469,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,735.75 : 288,759.75 = 288,759.75 : x
  2. Step 2: Convert to fraction form
    177,735.75/288,759.75 = 288,759.75/x
  3. Step 3: Cross multiply
    177,735.75x = 288,759.75 × 288,759.75
  4. Step 4: Simplify right side
    177,735.75x = 83,382,193,220.06
  5. Step 5: Solve for x
    x = 83,382,193,220.06/177,735.75
  6. Step 6: Final answer
    x = 469,135.74

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.