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Finding the Third Proportional to 177,336 and 239,256

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Solution

The third proportional to 177,336 and 239,256 is: 322,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,336 : 239,256 = 239,256 : x
  2. Step 2: Convert to fraction form
    177,336/239,256 = 239,256/x
  3. Step 3: Cross multiply
    177,336x = 239,256 × 239,256
  4. Step 4: Simplify right side
    177,336x = 57,243,433,536
  5. Step 5: Solve for x
    x = 57,243,433,536/177,336
  6. Step 6: Final answer
    x = 322,796.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.