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Finding the Third Proportional to 150,504.75 and 233,291.25

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Solution

The third proportional to 150,504.75 and 233,291.25 is: 361,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,504.75 : 233,291.25 = 233,291.25 : x
  2. Step 2: Convert to fraction form
    150,504.75/233,291.25 = 233,291.25/x
  3. Step 3: Cross multiply
    150,504.75x = 233,291.25 × 233,291.25
  4. Step 4: Simplify right side
    150,504.75x = 54,424,807,326.56
  5. Step 5: Solve for x
    x = 54,424,807,326.56/150,504.75
  6. Step 6: Final answer
    x = 361,615.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.