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Finding the Third Proportional to 178,422 and 244,664

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Solution

The third proportional to 178,422 and 244,664 is: 335,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,422 : 244,664 = 244,664 : x
  2. Step 2: Convert to fraction form
    178,422/244,664 = 244,664/x
  3. Step 3: Cross multiply
    178,422x = 244,664 × 244,664
  4. Step 4: Simplify right side
    178,422x = 59,860,472,896
  5. Step 5: Solve for x
    x = 59,860,472,896/178,422
  6. Step 6: Final answer
    x = 335,499.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.