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Finding the Third Proportional to 149,575.50 and 322,632

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Solution

The third proportional to 149,575.50 and 322,632 is: 695,912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,575.50 : 322,632 = 322,632 : x
  2. Step 2: Convert to fraction form
    149,575.50/322,632 = 322,632/x
  3. Step 3: Cross multiply
    149,575.50x = 322,632 × 322,632
  4. Step 4: Simplify right side
    149,575.50x = 104,091,407,424
  5. Step 5: Solve for x
    x = 104,091,407,424/149,575.50
  6. Step 6: Final answer
    x = 695,912.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.