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Finding the Third Proportional to 104,910 and 224,545

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Solution

The third proportional to 104,910 and 224,545 is: 480,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,910 : 224,545 = 224,545 : x
  2. Step 2: Convert to fraction form
    104,910/224,545 = 224,545/x
  3. Step 3: Cross multiply
    104,910x = 224,545 × 224,545
  4. Step 4: Simplify right side
    104,910x = 50,420,457,025
  5. Step 5: Solve for x
    x = 50,420,457,025/104,910
  6. Step 6: Final answer
    x = 480,606.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.