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Finding the Third Proportional to 158,738 and 239,729

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Solution

The third proportional to 158,738 and 239,729 is: 362,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,738 : 239,729 = 239,729 : x
  2. Step 2: Convert to fraction form
    158,738/239,729 = 239,729/x
  3. Step 3: Cross multiply
    158,738x = 239,729 × 239,729
  4. Step 4: Simplify right side
    158,738x = 57,469,993,441
  5. Step 5: Solve for x
    x = 57,469,993,441/158,738
  6. Step 6: Final answer
    x = 362,043.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.