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Finding the Third Proportional to 170,349.75 and 264,519.84

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Solution

The third proportional to 170,349.75 and 264,519.84 is: 410,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,349.75 : 264,519.84 = 264,519.84 : x
  2. Step 2: Convert to fraction form
    170,349.75/264,519.84 = 264,519.84/x
  3. Step 3: Cross multiply
    170,349.75x = 264,519.84 × 264,519.84
  4. Step 4: Simplify right side
    170,349.75x = 69,970,747,737.52
  5. Step 5: Solve for x
    x = 69,970,747,737.52/170,349.75
  6. Step 6: Final answer
    x = 410,747.58

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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.