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Finding the Third Proportional to 166,629.75 and 238,112.50

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Solution

The third proportional to 166,629.75 and 238,112.50 is: 340,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,629.75 : 238,112.50 = 238,112.50 : x
  2. Step 2: Convert to fraction form
    166,629.75/238,112.50 = 238,112.50/x
  3. Step 3: Cross multiply
    166,629.75x = 238,112.50 × 238,112.50
  4. Step 4: Simplify right side
    166,629.75x = 56,697,562,656.25
  5. Step 5: Solve for x
    x = 56,697,562,656.25/166,629.75
  6. Step 6: Final answer
    x = 340,260.74

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.