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Finding the Third Proportional to 175,500 and 256,668

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Solution

The third proportional to 175,500 and 256,668 is: 375,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,500 : 256,668 = 256,668 : x
  2. Step 2: Convert to fraction form
    175,500/256,668 = 256,668/x
  3. Step 3: Cross multiply
    175,500x = 256,668 × 256,668
  4. Step 4: Simplify right side
    175,500x = 65,878,462,224
  5. Step 5: Solve for x
    x = 65,878,462,224/175,500
  6. Step 6: Final answer
    x = 375,375.85

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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.