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Finding the Third Proportional to 238,176 and 316,116

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Solution

The third proportional to 238,176 and 316,116 is: 419,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,176 : 316,116 = 316,116 : x
  2. Step 2: Convert to fraction form
    238,176/316,116 = 316,116/x
  3. Step 3: Cross multiply
    238,176x = 316,116 × 316,116
  4. Step 4: Simplify right side
    238,176x = 99,929,325,456
  5. Step 5: Solve for x
    x = 99,929,325,456/238,176
  6. Step 6: Final answer
    x = 419,560.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.