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Finding the Third Proportional to 176,928 and 248,832

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Solution

The third proportional to 176,928 and 248,832 is: 349,957.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,928 : 248,832 = 248,832 : x
  2. Step 2: Convert to fraction form
    176,928/248,832 = 248,832/x
  3. Step 3: Cross multiply
    176,928x = 248,832 × 248,832
  4. Step 4: Simplify right side
    176,928x = 61,917,364,224
  5. Step 5: Solve for x
    x = 61,917,364,224/176,928
  6. Step 6: Final answer
    x = 349,957.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.