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Finding the Third Proportional to 179,194.50 and 270,178.50

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Solution

The third proportional to 179,194.50 and 270,178.50 is: 407,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,194.50 : 270,178.50 = 270,178.50 : x
  2. Step 2: Convert to fraction form
    179,194.50/270,178.50 = 270,178.50/x
  3. Step 3: Cross multiply
    179,194.50x = 270,178.50 × 270,178.50
  4. Step 4: Simplify right side
    179,194.50x = 72,996,421,862.25
  5. Step 5: Solve for x
    x = 72,996,421,862.25/179,194.50
  6. Step 6: Final answer
    x = 407,358.61

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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.