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Finding the Third Proportional to 230,560 and 352,836

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Solution

The third proportional to 230,560 and 352,836 is: 539,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,560 : 352,836 = 352,836 : x
  2. Step 2: Convert to fraction form
    230,560/352,836 = 352,836/x
  3. Step 3: Cross multiply
    230,560x = 352,836 × 352,836
  4. Step 4: Simplify right side
    230,560x = 124,493,242,896
  5. Step 5: Solve for x
    x = 124,493,242,896/230,560
  6. Step 6: Final answer
    x = 539,960.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.