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Finding the Third Proportional to 170,704.50 and 263,756.25

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Solution

The third proportional to 170,704.50 and 263,756.25 is: 407,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,704.50 : 263,756.25 = 263,756.25 : x
  2. Step 2: Convert to fraction form
    170,704.50/263,756.25 = 263,756.25/x
  3. Step 3: Cross multiply
    170,704.50x = 263,756.25 × 263,756.25
  4. Step 4: Simplify right side
    170,704.50x = 69,567,359,414.06
  5. Step 5: Solve for x
    x = 69,567,359,414.06/170,704.50
  6. Step 6: Final answer
    x = 407,530.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.