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Finding the Third Proportional to 180,596 and 270,240

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Solution

The third proportional to 180,596 and 270,240 is: 404,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,596 : 270,240 = 270,240 : x
  2. Step 2: Convert to fraction form
    180,596/270,240 = 270,240/x
  3. Step 3: Cross multiply
    180,596x = 270,240 × 270,240
  4. Step 4: Simplify right side
    180,596x = 73,029,657,600
  5. Step 5: Solve for x
    x = 73,029,657,600/180,596
  6. Step 6: Final answer
    x = 404,381.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.