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Finding the Third Proportional to 147,586.50 and 326,183.63

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Solution

The third proportional to 147,586.50 and 326,183.63 is: 720,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,586.50 : 326,183.63 = 326,183.63 : x
  2. Step 2: Convert to fraction form
    147,586.50/326,183.63 = 326,183.63/x
  3. Step 3: Cross multiply
    147,586.50x = 326,183.63 × 326,183.63
  4. Step 4: Simplify right side
    147,586.50x = 106,395,757,218.14
  5. Step 5: Solve for x
    x = 106,395,757,218.14/147,586.50
  6. Step 6: Final answer
    x = 720,904.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.