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Finding the Third Proportional to 229,892 and 501,163

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Solution

The third proportional to 229,892 and 501,163 is: 1,092,531.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,892 : 501,163 = 501,163 : x
  2. Step 2: Convert to fraction form
    229,892/501,163 = 501,163/x
  3. Step 3: Cross multiply
    229,892x = 501,163 × 501,163
  4. Step 4: Simplify right side
    229,892x = 251,164,352,569
  5. Step 5: Solve for x
    x = 251,164,352,569/229,892
  6. Step 6: Final answer
    x = 1,092,531.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.