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Finding the Third Proportional to 166,641.75 and 238,135.50

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Solution

The third proportional to 166,641.75 and 238,135.50 is: 340,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,641.75 : 238,135.50 = 238,135.50 : x
  2. Step 2: Convert to fraction form
    166,641.75/238,135.50 = 238,135.50/x
  3. Step 3: Cross multiply
    166,641.75x = 238,135.50 × 238,135.50
  4. Step 4: Simplify right side
    166,641.75x = 56,708,516,360.25
  5. Step 5: Solve for x
    x = 56,708,516,360.25/166,641.75
  6. Step 6: Final answer
    x = 340,301.97

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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.