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Finding the Third Proportional to 170,758.50 and 263,836.50

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Solution

The third proportional to 170,758.50 and 263,836.50 is: 407,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,758.50 : 263,836.50 = 263,836.50 : x
  2. Step 2: Convert to fraction form
    170,758.50/263,836.50 = 263,836.50/x
  3. Step 3: Cross multiply
    170,758.50x = 263,836.50 × 263,836.50
  4. Step 4: Simplify right side
    170,758.50x = 69,609,698,732.25
  5. Step 5: Solve for x
    x = 69,609,698,732.25/170,758.50
  6. Step 6: Final answer
    x = 407,649.98

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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.