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Finding the Third Proportional to 229,938 and 308,997

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Solution

The third proportional to 229,938 and 308,997 is: 415,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,938 : 308,997 = 308,997 : x
  2. Step 2: Convert to fraction form
    229,938/308,997 = 308,997/x
  3. Step 3: Cross multiply
    229,938x = 308,997 × 308,997
  4. Step 4: Simplify right side
    229,938x = 95,479,146,009
  5. Step 5: Solve for x
    x = 95,479,146,009/229,938
  6. Step 6: Final answer
    x = 415,238.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.