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Finding the Third Proportional to 116,673 and 256,674

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Solution

The third proportional to 116,673 and 256,674 is: 564,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,673 : 256,674 = 256,674 : x
  2. Step 2: Convert to fraction form
    116,673/256,674 = 256,674/x
  3. Step 3: Cross multiply
    116,673x = 256,674 × 256,674
  4. Step 4: Simplify right side
    116,673x = 65,881,542,276
  5. Step 5: Solve for x
    x = 65,881,542,276/116,673
  6. Step 6: Final answer
    x = 564,668.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.