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Finding the Third Proportional to 102,906 and 224,748

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Solution

The third proportional to 102,906 and 224,748 is: 490,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906 : 224,748 = 224,748 : x
  2. Step 2: Convert to fraction form
    102,906/224,748 = 224,748/x
  3. Step 3: Cross multiply
    102,906x = 224,748 × 224,748
  4. Step 4: Simplify right side
    102,906x = 50,511,663,504
  5. Step 5: Solve for x
    x = 50,511,663,504/102,906
  6. Step 6: Final answer
    x = 490,852.46

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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.