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Finding the Third Proportional to 170,223.75 and 256,069.13

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Solution

The third proportional to 170,223.75 and 256,069.13 is: 385,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,223.75 : 256,069.13 = 256,069.13 : x
  2. Step 2: Convert to fraction form
    170,223.75/256,069.13 = 256,069.13/x
  3. Step 3: Cross multiply
    170,223.75x = 256,069.13 × 256,069.13
  4. Step 4: Simplify right side
    170,223.75x = 65,571,396,778.27
  5. Step 5: Solve for x
    x = 65,571,396,778.27/170,223.75
  6. Step 6: Final answer
    x = 385,207.10

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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.