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Finding the Third Proportional to 232,308 and 327,145.25

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Solution

The third proportional to 232,308 and 327,145.25 is: 460,698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,308 : 327,145.25 = 327,145.25 : x
  2. Step 2: Convert to fraction form
    232,308/327,145.25 = 327,145.25/x
  3. Step 3: Cross multiply
    232,308x = 327,145.25 × 327,145.25
  4. Step 4: Simplify right side
    232,308x = 107,024,014,597.56
  5. Step 5: Solve for x
    x = 107,024,014,597.56/232,308
  6. Step 6: Final answer
    x = 460,698.79

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.