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Finding the Third Proportional to 179,145 and 270,733.50

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Solution

The third proportional to 179,145 and 270,733.50 is: 409,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,145 : 270,733.50 = 270,733.50 : x
  2. Step 2: Convert to fraction form
    179,145/270,733.50 = 270,733.50/x
  3. Step 3: Cross multiply
    179,145x = 270,733.50 × 270,733.50
  4. Step 4: Simplify right side
    179,145x = 73,296,628,022.25
  5. Step 5: Solve for x
    x = 73,296,628,022.25/179,145
  6. Step 6: Final answer
    x = 409,146.94

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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.