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Finding the Third Proportional to 266,150 and 401,997

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Solution

The third proportional to 266,150 and 401,997 is: 607,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,150 : 401,997 = 401,997 : x
  2. Step 2: Convert to fraction form
    266,150/401,997 = 401,997/x
  3. Step 3: Cross multiply
    266,150x = 401,997 × 401,997
  4. Step 4: Simplify right side
    266,150x = 161,601,588,009
  5. Step 5: Solve for x
    x = 161,601,588,009/266,150
  6. Step 6: Final answer
    x = 607,182.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.