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Finding the Third Proportional to 233,132 and 360,027

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Solution

The third proportional to 233,132 and 360,027 is: 555,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,132 : 360,027 = 360,027 : x
  2. Step 2: Convert to fraction form
    233,132/360,027 = 360,027/x
  3. Step 3: Cross multiply
    233,132x = 360,027 × 360,027
  4. Step 4: Simplify right side
    233,132x = 129,619,440,729
  5. Step 5: Solve for x
    x = 129,619,440,729/233,132
  6. Step 6: Final answer
    x = 555,991.63

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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.