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Finding the Third Proportional to 103,479 and 226,830

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Solution

The third proportional to 103,479 and 226,830 is: 497,220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,479 : 226,830 = 226,830 : x
  2. Step 2: Convert to fraction form
    103,479/226,830 = 226,830/x
  3. Step 3: Cross multiply
    103,479x = 226,830 × 226,830
  4. Step 4: Simplify right side
    103,479x = 51,451,848,900
  5. Step 5: Solve for x
    x = 51,451,848,900/103,479
  6. Step 6: Final answer
    x = 497,220.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.