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Finding the Third Proportional to 226,526 and 316,867

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Solution

The third proportional to 226,526 and 316,867 is: 443,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,526 : 316,867 = 316,867 : x
  2. Step 2: Convert to fraction form
    226,526/316,867 = 316,867/x
  3. Step 3: Cross multiply
    226,526x = 316,867 × 316,867
  4. Step 4: Simplify right side
    226,526x = 100,404,695,689
  5. Step 5: Solve for x
    x = 100,404,695,689/226,526
  6. Step 6: Final answer
    x = 443,236.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.