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Finding the Third Proportional to 158,336 and 239,016

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Solution

The third proportional to 158,336 and 239,016 is: 360,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,336 : 239,016 = 239,016 : x
  2. Step 2: Convert to fraction form
    158,336/239,016 = 239,016/x
  3. Step 3: Cross multiply
    158,336x = 239,016 × 239,016
  4. Step 4: Simplify right side
    158,336x = 57,128,648,256
  5. Step 5: Solve for x
    x = 57,128,648,256/158,336
  6. Step 6: Final answer
    x = 360,806.44

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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.