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Finding the Third Proportional to 160,949 and 239,628

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Solution

The third proportional to 160,949 and 239,628 is: 356,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,949 : 239,628 = 239,628 : x
  2. Step 2: Convert to fraction form
    160,949/239,628 = 239,628/x
  3. Step 3: Cross multiply
    160,949x = 239,628 × 239,628
  4. Step 4: Simplify right side
    160,949x = 57,421,578,384
  5. Step 5: Solve for x
    x = 57,421,578,384/160,949
  6. Step 6: Final answer
    x = 356,768.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.