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Finding the Third Proportional to 152,629.50 and 335,709.75

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Solution

The third proportional to 152,629.50 and 335,709.75 is: 738,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,629.50 : 335,709.75 = 335,709.75 : x
  2. Step 2: Convert to fraction form
    152,629.50/335,709.75 = 335,709.75/x
  3. Step 3: Cross multiply
    152,629.50x = 335,709.75 × 335,709.75
  4. Step 4: Simplify right side
    152,629.50x = 112,701,036,245.06
  5. Step 5: Solve for x
    x = 112,701,036,245.06/152,629.50
  6. Step 6: Final answer
    x = 738,396.16

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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.