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Finding the Third Proportional to 102,915 and 224,676

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Solution

The third proportional to 102,915 and 224,676 is: 490,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,915 : 224,676 = 224,676 : x
  2. Step 2: Convert to fraction form
    102,915/224,676 = 224,676/x
  3. Step 3: Cross multiply
    102,915x = 224,676 × 224,676
  4. Step 4: Simplify right side
    102,915x = 50,479,304,976
  5. Step 5: Solve for x
    x = 50,479,304,976/102,915
  6. Step 6: Final answer
    x = 490,495.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.