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Finding the Third Proportional to 103,684 and 227,457

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Solution

The third proportional to 103,684 and 227,457 is: 498,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684 : 227,457 = 227,457 : x
  2. Step 2: Convert to fraction form
    103,684/227,457 = 227,457/x
  3. Step 3: Cross multiply
    103,684x = 227,457 × 227,457
  4. Step 4: Simplify right side
    103,684x = 51,736,686,849
  5. Step 5: Solve for x
    x = 51,736,686,849/103,684
  6. Step 6: Final answer
    x = 498,984.29

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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.