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Finding the Third Proportional to 108,674 and 224,332

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Solution

The third proportional to 108,674 and 224,332 is: 463,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,674 : 224,332 = 224,332 : x
  2. Step 2: Convert to fraction form
    108,674/224,332 = 224,332/x
  3. Step 3: Cross multiply
    108,674x = 224,332 × 224,332
  4. Step 4: Simplify right side
    108,674x = 50,324,846,224
  5. Step 5: Solve for x
    x = 50,324,846,224/108,674
  6. Step 6: Final answer
    x = 463,080.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.