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Finding the Third Proportional to 269,000 and 376,996

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Solution

The third proportional to 269,000 and 376,996 is: 528,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,000 : 376,996 = 376,996 : x
  2. Step 2: Convert to fraction form
    269,000/376,996 = 376,996/x
  3. Step 3: Cross multiply
    269,000x = 376,996 × 376,996
  4. Step 4: Simplify right side
    269,000x = 142,125,984,016
  5. Step 5: Solve for x
    x = 142,125,984,016/269,000
  6. Step 6: Final answer
    x = 528,349.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.