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Finding the Third Proportional to 230,569 and 352,849

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Solution

The third proportional to 230,569 and 352,849 is: 539,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,569 : 352,849 = 352,849 : x
  2. Step 2: Convert to fraction form
    230,569/352,849 = 352,849/x
  3. Step 3: Cross multiply
    230,569x = 352,849 × 352,849
  4. Step 4: Simplify right side
    230,569x = 124,502,416,801
  5. Step 5: Solve for x
    x = 124,502,416,801/230,569
  6. Step 6: Final answer
    x = 539,978.99

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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.