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Finding the Third Proportional to 166,627.69 and 238,109.63

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Solution

The third proportional to 166,627.69 and 238,109.63 is: 340,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,627.69 : 238,109.63 = 238,109.63 : x
  2. Step 2: Convert to fraction form
    166,627.69/238,109.63 = 238,109.63/x
  3. Step 3: Cross multiply
    166,627.69x = 238,109.63 × 238,109.63
  4. Step 4: Simplify right side
    166,627.69x = 56,696,193,517.64
  5. Step 5: Solve for x
    x = 56,696,193,517.64/166,627.69
  6. Step 6: Final answer
    x = 340,256.74

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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.