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Finding the Third Proportional to 174,663 and 270,530

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Solution

The third proportional to 174,663 and 270,530 is: 419,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,663 : 270,530 = 270,530 : x
  2. Step 2: Convert to fraction form
    174,663/270,530 = 270,530/x
  3. Step 3: Cross multiply
    174,663x = 270,530 × 270,530
  4. Step 4: Simplify right side
    174,663x = 73,186,480,900
  5. Step 5: Solve for x
    x = 73,186,480,900/174,663
  6. Step 6: Final answer
    x = 419,015.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.