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Finding the Third Proportional to 105,840 and 226,230

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Solution

The third proportional to 105,840 and 226,230 is: 483,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,840 : 226,230 = 226,230 : x
  2. Step 2: Convert to fraction form
    105,840/226,230 = 226,230/x
  3. Step 3: Cross multiply
    105,840x = 226,230 × 226,230
  4. Step 4: Simplify right side
    105,840x = 51,180,012,900
  5. Step 5: Solve for x
    x = 51,180,012,900/105,840
  6. Step 6: Final answer
    x = 483,560.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.