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Finding the Third Proportional to 166,634 and 238,120

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Solution

The third proportional to 166,634 and 238,120 is: 340,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,634 : 238,120 = 238,120 : x
  2. Step 2: Convert to fraction form
    166,634/238,120 = 238,120/x
  3. Step 3: Cross multiply
    166,634x = 238,120 × 238,120
  4. Step 4: Simplify right side
    166,634x = 56,701,134,400
  5. Step 5: Solve for x
    x = 56,701,134,400/166,634
  6. Step 6: Final answer
    x = 340,273.50

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Why These Related Problems?

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