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Finding the Third Proportional to 225,614 and 376,005

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Solution

The third proportional to 225,614 and 376,005 is: 626,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,614 : 376,005 = 376,005 : x
  2. Step 2: Convert to fraction form
    225,614/376,005 = 376,005/x
  3. Step 3: Cross multiply
    225,614x = 376,005 × 376,005
  4. Step 4: Simplify right side
    225,614x = 141,379,760,025
  5. Step 5: Solve for x
    x = 141,379,760,025/225,614
  6. Step 6: Final answer
    x = 626,644.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.