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Finding the Third Proportional to 102,685 and 224,695

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Solution

The third proportional to 102,685 and 224,695 is: 491,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,685 : 224,695 = 224,695 : x
  2. Step 2: Convert to fraction form
    102,685/224,695 = 224,695/x
  3. Step 3: Cross multiply
    102,685x = 224,695 × 224,695
  4. Step 4: Simplify right side
    102,685x = 50,487,843,025
  5. Step 5: Solve for x
    x = 50,487,843,025/102,685
  6. Step 6: Final answer
    x = 491,676.91

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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.