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Finding the Third Proportional to 178,233.31 and 396,316.50

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Solution

The third proportional to 178,233.31 and 396,316.50 is: 881,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,233.31 : 396,316.50 = 396,316.50 : x
  2. Step 2: Convert to fraction form
    178,233.31/396,316.50 = 396,316.50/x
  3. Step 3: Cross multiply
    178,233.31x = 396,316.50 × 396,316.50
  4. Step 4: Simplify right side
    178,233.31x = 157,066,768,172.25
  5. Step 5: Solve for x
    x = 157,066,768,172.25/178,233.31
  6. Step 6: Final answer
    x = 881,242.49

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.