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Finding the Third Proportional to 180,468.75 and 252,321.75

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Solution

The third proportional to 180,468.75 and 252,321.75 is: 352,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,468.75 : 252,321.75 = 252,321.75 : x
  2. Step 2: Convert to fraction form
    180,468.75/252,321.75 = 252,321.75/x
  3. Step 3: Cross multiply
    180,468.75x = 252,321.75 × 252,321.75
  4. Step 4: Simplify right side
    180,468.75x = 63,666,265,523.06
  5. Step 5: Solve for x
    x = 63,666,265,523.06/180,468.75
  6. Step 6: Final answer
    x = 352,782.77

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.