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Finding the Third Proportional to 154,996.03 and 239,408.16

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Solution

The third proportional to 154,996.03 and 239,408.16 is: 369,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,996.03 : 239,408.16 = 239,408.16 : x
  2. Step 2: Convert to fraction form
    154,996.03/239,408.16 = 239,408.16/x
  3. Step 3: Cross multiply
    154,996.03x = 239,408.16 × 239,408.16
  4. Step 4: Simplify right side
    154,996.03x = 57,316,265,279.02
  5. Step 5: Solve for x
    x = 57,316,265,279.02/154,996.03
  6. Step 6: Final answer
    x = 369,791.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.