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Finding the Third Proportional to 166,637.25 and 238,129.88

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Solution

The third proportional to 166,637.25 and 238,129.88 is: 340,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,637.25 : 238,129.88 = 238,129.88 : x
  2. Step 2: Convert to fraction form
    166,637.25/238,129.88 = 238,129.88/x
  3. Step 3: Cross multiply
    166,637.25x = 238,129.88 × 238,129.88
  4. Step 4: Simplify right side
    166,637.25x = 56,705,837,367.52
  5. Step 5: Solve for x
    x = 56,705,837,367.52/166,637.25
  6. Step 6: Final answer
    x = 340,295.09

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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.