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Finding the Third Proportional to 180,632.53 and 275,664.52

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Solution

The third proportional to 180,632.53 and 275,664.52 is: 420,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,632.53 : 275,664.52 = 275,664.52 : x
  2. Step 2: Convert to fraction form
    180,632.53/275,664.52 = 275,664.52/x
  3. Step 3: Cross multiply
    180,632.53x = 275,664.52 × 275,664.52
  4. Step 4: Simplify right side
    180,632.53x = 75,990,925,174.77
  5. Step 5: Solve for x
    x = 75,990,925,174.77/180,632.53
  6. Step 6: Final answer
    x = 420,693.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.