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Finding the Third Proportional to 120,467 and 176,380

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Solution

The third proportional to 120,467 and 176,380 is: 258,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,467 : 176,380 = 176,380 : x
  2. Step 2: Convert to fraction form
    120,467/176,380 = 176,380/x
  3. Step 3: Cross multiply
    120,467x = 176,380 × 176,380
  4. Step 4: Simplify right side
    120,467x = 31,109,904,400
  5. Step 5: Solve for x
    x = 31,109,904,400/120,467
  6. Step 6: Final answer
    x = 258,244.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.