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Finding the Third Proportional to 176,274 and 264,801

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Solution

The third proportional to 176,274 and 264,801 is: 397,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,274 : 264,801 = 264,801 : x
  2. Step 2: Convert to fraction form
    176,274/264,801 = 264,801/x
  3. Step 3: Cross multiply
    176,274x = 264,801 × 264,801
  4. Step 4: Simplify right side
    176,274x = 70,119,569,601
  5. Step 5: Solve for x
    x = 70,119,569,601/176,274
  6. Step 6: Final answer
    x = 397,787.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.