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Finding the Third Proportional to 158,477.77 and 324,245.53

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Solution

The third proportional to 158,477.77 and 324,245.53 is: 663,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,477.77 : 324,245.53 = 324,245.53 : x
  2. Step 2: Convert to fraction form
    158,477.77/324,245.53 = 324,245.53/x
  3. Step 3: Cross multiply
    158,477.77x = 324,245.53 × 324,245.53
  4. Step 4: Simplify right side
    158,477.77x = 105,135,164,535.60
  5. Step 5: Solve for x
    x = 105,135,164,535.60/158,477.77
  6. Step 6: Final answer
    x = 663,406.40

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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.