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Finding the Third Proportional to 158,741 and 239,732

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Solution

The third proportional to 158,741 and 239,732 is: 362,045.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,741 : 239,732 = 239,732 : x
  2. Step 2: Convert to fraction form
    158,741/239,732 = 239,732/x
  3. Step 3: Cross multiply
    158,741x = 239,732 × 239,732
  4. Step 4: Simplify right side
    158,741x = 57,471,431,824
  5. Step 5: Solve for x
    x = 57,471,431,824/158,741
  6. Step 6: Final answer
    x = 362,045.29

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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.