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Finding the Third Proportional to 230,556 and 352,830

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Solution

The third proportional to 230,556 and 352,830 is: 539,951.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,556 : 352,830 = 352,830 : x
  2. Step 2: Convert to fraction form
    230,556/352,830 = 352,830/x
  3. Step 3: Cross multiply
    230,556x = 352,830 × 352,830
  4. Step 4: Simplify right side
    230,556x = 124,489,008,900
  5. Step 5: Solve for x
    x = 124,489,008,900/230,556
  6. Step 6: Final answer
    x = 539,951.29

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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.