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Finding the Third Proportional to 175,077 and 256,405

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Solution

The third proportional to 175,077 and 256,405 is: 375,512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,077 : 256,405 = 256,405 : x
  2. Step 2: Convert to fraction form
    175,077/256,405 = 256,405/x
  3. Step 3: Cross multiply
    175,077x = 256,405 × 256,405
  4. Step 4: Simplify right side
    175,077x = 65,743,524,025
  5. Step 5: Solve for x
    x = 65,743,524,025/175,077
  6. Step 6: Final answer
    x = 375,512.05

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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.