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Finding the Third Proportional to 229,891 and 501,166

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Solution

The third proportional to 229,891 and 501,166 is: 1,092,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,891 : 501,166 = 501,166 : x
  2. Step 2: Convert to fraction form
    229,891/501,166 = 501,166/x
  3. Step 3: Cross multiply
    229,891x = 501,166 × 501,166
  4. Step 4: Simplify right side
    229,891x = 251,167,359,556
  5. Step 5: Solve for x
    x = 251,167,359,556/229,891
  6. Step 6: Final answer
    x = 1,092,549.77

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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.