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Finding the Third Proportional to 74,266 and 154,652

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Solution

The third proportional to 74,266 and 154,652 is: 322,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,266 : 154,652 = 154,652 : x
  2. Step 2: Convert to fraction form
    74,266/154,652 = 154,652/x
  3. Step 3: Cross multiply
    74,266x = 154,652 × 154,652
  4. Step 4: Simplify right side
    74,266x = 23,917,241,104
  5. Step 5: Solve for x
    x = 23,917,241,104/74,266
  6. Step 6: Final answer
    x = 322,048.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.