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Finding the Third Proportional to 267,176 and 382,714

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Solution

The third proportional to 267,176 and 382,714 is: 548,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,176 : 382,714 = 382,714 : x
  2. Step 2: Convert to fraction form
    267,176/382,714 = 382,714/x
  3. Step 3: Cross multiply
    267,176x = 382,714 × 382,714
  4. Step 4: Simplify right side
    267,176x = 146,470,005,796
  5. Step 5: Solve for x
    x = 146,470,005,796/267,176
  6. Step 6: Final answer
    x = 548,215.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.