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Finding the Third Proportional to 182,059 and 371,347

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Solution

The third proportional to 182,059 and 371,347 is: 757,439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,059 : 371,347 = 371,347 : x
  2. Step 2: Convert to fraction form
    182,059/371,347 = 371,347/x
  3. Step 3: Cross multiply
    182,059x = 371,347 × 371,347
  4. Step 4: Simplify right side
    182,059x = 137,898,594,409
  5. Step 5: Solve for x
    x = 137,898,594,409/182,059
  6. Step 6: Final answer
    x = 757,439.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.