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Finding the Third Proportional to 231,984 and 352,836

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Solution

The third proportional to 231,984 and 352,836 is: 536,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,984 : 352,836 = 352,836 : x
  2. Step 2: Convert to fraction form
    231,984/352,836 = 352,836/x
  3. Step 3: Cross multiply
    231,984x = 352,836 × 352,836
  4. Step 4: Simplify right side
    231,984x = 124,493,242,896
  5. Step 5: Solve for x
    x = 124,493,242,896/231,984
  6. Step 6: Final answer
    x = 536,645.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.