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Finding the Third Proportional to 179,077.50 and 270,922

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Solution

The third proportional to 179,077.50 and 270,922 is: 409,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,077.50 : 270,922 = 270,922 : x
  2. Step 2: Convert to fraction form
    179,077.50/270,922 = 270,922/x
  3. Step 3: Cross multiply
    179,077.50x = 270,922 × 270,922
  4. Step 4: Simplify right side
    179,077.50x = 73,398,730,084
  5. Step 5: Solve for x
    x = 73,398,730,084/179,077.50
  6. Step 6: Final answer
    x = 409,871.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.