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Finding the Third Proportional to 226,969 and 329,798

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Solution

The third proportional to 226,969 and 329,798 is: 479,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,969 : 329,798 = 329,798 : x
  2. Step 2: Convert to fraction form
    226,969/329,798 = 329,798/x
  3. Step 3: Cross multiply
    226,969x = 329,798 × 329,798
  4. Step 4: Simplify right side
    226,969x = 108,766,720,804
  5. Step 5: Solve for x
    x = 108,766,720,804/226,969
  6. Step 6: Final answer
    x = 479,213.99

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.