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Finding the Third Proportional to 167,958 and 239,132

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Solution

The third proportional to 167,958 and 239,132 is: 340,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,958 : 239,132 = 239,132 : x
  2. Step 2: Convert to fraction form
    167,958/239,132 = 239,132/x
  3. Step 3: Cross multiply
    167,958x = 239,132 × 239,132
  4. Step 4: Simplify right side
    167,958x = 57,184,113,424
  5. Step 5: Solve for x
    x = 57,184,113,424/167,958
  6. Step 6: Final answer
    x = 340,466.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.