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Finding the Third Proportional to 230,558 and 352,833

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Solution

The third proportional to 230,558 and 352,833 is: 539,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,558 : 352,833 = 352,833 : x
  2. Step 2: Convert to fraction form
    230,558/352,833 = 352,833/x
  3. Step 3: Cross multiply
    230,558x = 352,833 × 352,833
  4. Step 4: Simplify right side
    230,558x = 124,491,125,889
  5. Step 5: Solve for x
    x = 124,491,125,889/230,558
  6. Step 6: Final answer
    x = 539,955.79

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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.