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Finding the Third Proportional to 170,220 and 256,064

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Solution

The third proportional to 170,220 and 256,064 is: 385,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,220 : 256,064 = 256,064 : x
  2. Step 2: Convert to fraction form
    170,220/256,064 = 256,064/x
  3. Step 3: Cross multiply
    170,220x = 256,064 × 256,064
  4. Step 4: Simplify right side
    170,220x = 65,568,772,096
  5. Step 5: Solve for x
    x = 65,568,772,096/170,220
  6. Step 6: Final answer
    x = 385,200.17

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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.