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Finding the Third Proportional to 166,701.25 and 238,212.25

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Solution

The third proportional to 166,701.25 and 238,212.25 is: 340,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,701.25 : 238,212.25 = 238,212.25 : x
  2. Step 2: Convert to fraction form
    166,701.25/238,212.25 = 238,212.25/x
  3. Step 3: Cross multiply
    166,701.25x = 238,212.25 × 238,212.25
  4. Step 4: Simplify right side
    166,701.25x = 56,745,076,050.06
  5. Step 5: Solve for x
    x = 56,745,076,050.06/166,701.25
  6. Step 6: Final answer
    x = 340,399.82

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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.