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Finding the Third Proportional to 158,625.84 and 324,989.72

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Solution

The third proportional to 158,625.84 and 324,989.72 is: 665,832.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,625.84 : 324,989.72 = 324,989.72 : x
  2. Step 2: Convert to fraction form
    158,625.84/324,989.72 = 324,989.72/x
  3. Step 3: Cross multiply
    158,625.84x = 324,989.72 × 324,989.72
  4. Step 4: Simplify right side
    158,625.84x = 105,618,317,293.20
  5. Step 5: Solve for x
    x = 105,618,317,293.20/158,625.84
  6. Step 6: Final answer
    x = 665,832.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.