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Finding the Third Proportional to 114,832 and 246,272

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Solution

The third proportional to 114,832 and 246,272 is: 528,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,832 : 246,272 = 246,272 : x
  2. Step 2: Convert to fraction form
    114,832/246,272 = 246,272/x
  3. Step 3: Cross multiply
    114,832x = 246,272 × 246,272
  4. Step 4: Simplify right side
    114,832x = 60,649,897,984
  5. Step 5: Solve for x
    x = 60,649,897,984/114,832
  6. Step 6: Final answer
    x = 528,161.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.