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Finding the Third Proportional to 175,086 and 256,418

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Solution

The third proportional to 175,086 and 256,418 is: 375,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,086 : 256,418 = 256,418 : x
  2. Step 2: Convert to fraction form
    175,086/256,418 = 256,418/x
  3. Step 3: Cross multiply
    175,086x = 256,418 × 256,418
  4. Step 4: Simplify right side
    175,086x = 65,750,190,724
  5. Step 5: Solve for x
    x = 65,750,190,724/175,086
  6. Step 6: Final answer
    x = 375,530.83

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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.