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Finding the Third Proportional to 158,734 and 239,723

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Solution

The third proportional to 158,734 and 239,723 is: 362,034.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,734 : 239,723 = 239,723 : x
  2. Step 2: Convert to fraction form
    158,734/239,723 = 239,723/x
  3. Step 3: Cross multiply
    158,734x = 239,723 × 239,723
  4. Step 4: Simplify right side
    158,734x = 57,467,116,729
  5. Step 5: Solve for x
    x = 57,467,116,729/158,734
  6. Step 6: Final answer
    x = 362,034.07

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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.