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Finding the Third Proportional to 175,448 and 256,064

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Solution

The third proportional to 175,448 and 256,064 is: 373,721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,448 : 256,064 = 256,064 : x
  2. Step 2: Convert to fraction form
    175,448/256,064 = 256,064/x
  3. Step 3: Cross multiply
    175,448x = 256,064 × 256,064
  4. Step 4: Simplify right side
    175,448x = 65,568,772,096
  5. Step 5: Solve for x
    x = 65,568,772,096/175,448
  6. Step 6: Final answer
    x = 373,721.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.