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Finding the Third Proportional to 108,683 and 224,350

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Solution

The third proportional to 108,683 and 224,350 is: 463,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,683 : 224,350 = 224,350 : x
  2. Step 2: Convert to fraction form
    108,683/224,350 = 224,350/x
  3. Step 3: Cross multiply
    108,683x = 224,350 × 224,350
  4. Step 4: Simplify right side
    108,683x = 50,332,922,500
  5. Step 5: Solve for x
    x = 50,332,922,500/108,683
  6. Step 6: Final answer
    x = 463,116.79

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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.