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Finding the Third Proportional to 74,218 and 151,027

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Solution

The third proportional to 74,218 and 151,027 is: 307,326.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,218 : 151,027 = 151,027 : x
  2. Step 2: Convert to fraction form
    74,218/151,027 = 151,027/x
  3. Step 3: Cross multiply
    74,218x = 151,027 × 151,027
  4. Step 4: Simplify right side
    74,218x = 22,809,154,729
  5. Step 5: Solve for x
    x = 22,809,154,729/74,218
  6. Step 6: Final answer
    x = 307,326.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.