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Finding the Third Proportional to 159,309.28 and 332,560.69

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Solution

The third proportional to 159,309.28 and 332,560.69 is: 694,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,309.28 : 332,560.69 = 332,560.69 : x
  2. Step 2: Convert to fraction form
    159,309.28/332,560.69 = 332,560.69/x
  3. Step 3: Cross multiply
    159,309.28x = 332,560.69 × 332,560.69
  4. Step 4: Simplify right side
    159,309.28x = 110,596,610,870.47
  5. Step 5: Solve for x
    x = 110,596,610,870.47/159,309.28
  6. Step 6: Final answer
    x = 694,225.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.