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Finding the Third Proportional to 133,712.06 and 315,327.56

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Solution

The third proportional to 133,712.06 and 315,327.56 is: 743,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,712.06 : 315,327.56 = 315,327.56 : x
  2. Step 2: Convert to fraction form
    133,712.06/315,327.56 = 315,327.56/x
  3. Step 3: Cross multiply
    133,712.06x = 315,327.56 × 315,327.56
  4. Step 4: Simplify right side
    133,712.06x = 99,431,471,672.19
  5. Step 5: Solve for x
    x = 99,431,471,672.19/133,712.06
  6. Step 6: Final answer
    x = 743,623.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.