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Finding the Third Proportional to 153,162 and 336,561.75

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Solution

The third proportional to 153,162 and 336,561.75 is: 739,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,162 : 336,561.75 = 336,561.75 : x
  2. Step 2: Convert to fraction form
    153,162/336,561.75 = 336,561.75/x
  3. Step 3: Cross multiply
    153,162x = 336,561.75 × 336,561.75
  4. Step 4: Simplify right side
    153,162x = 113,273,811,563.06
  5. Step 5: Solve for x
    x = 113,273,811,563.06/153,162
  6. Step 6: Final answer
    x = 739,568.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.