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Finding the Third Proportional to 170,349.75 and 255,934.27

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Solution

The third proportional to 170,349.75 and 255,934.27 is: 384,516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,349.75 : 255,934.27 = 255,934.27 : x
  2. Step 2: Convert to fraction form
    170,349.75/255,934.27 = 255,934.27/x
  3. Step 3: Cross multiply
    170,349.75x = 255,934.27 × 255,934.27
  4. Step 4: Simplify right side
    170,349.75x = 65,502,348,321.01
  5. Step 5: Solve for x
    x = 65,502,348,321.01/170,349.75
  6. Step 6: Final answer
    x = 384,516.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.