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Finding the Third Proportional to 102,680.25 and 224,717

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Solution

The third proportional to 102,680.25 and 224,717 is: 491,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,680.25 : 224,717 = 224,717 : x
  2. Step 2: Convert to fraction form
    102,680.25/224,717 = 224,717/x
  3. Step 3: Cross multiply
    102,680.25x = 224,717 × 224,717
  4. Step 4: Simplify right side
    102,680.25x = 50,497,730,089
  5. Step 5: Solve for x
    x = 50,497,730,089/102,680.25
  6. Step 6: Final answer
    x = 491,795.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.