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Finding the Third Proportional to 177,562 and 239,232

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Solution

The third proportional to 177,562 and 239,232 is: 322,320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,562 : 239,232 = 239,232 : x
  2. Step 2: Convert to fraction form
    177,562/239,232 = 239,232/x
  3. Step 3: Cross multiply
    177,562x = 239,232 × 239,232
  4. Step 4: Simplify right side
    177,562x = 57,231,949,824
  5. Step 5: Solve for x
    x = 57,231,949,824/177,562
  6. Step 6: Final answer
    x = 322,320.93

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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.