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Finding the Third Proportional to 175,200 and 270,578

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Solution

The third proportional to 175,200 and 270,578 is: 417,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,200 : 270,578 = 270,578 : x
  2. Step 2: Convert to fraction form
    175,200/270,578 = 270,578/x
  3. Step 3: Cross multiply
    175,200x = 270,578 × 270,578
  4. Step 4: Simplify right side
    175,200x = 73,212,454,084
  5. Step 5: Solve for x
    x = 73,212,454,084/175,200
  6. Step 6: Final answer
    x = 417,879.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.