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Finding the Third Proportional to 104,023 and 224,638

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Solution

The third proportional to 104,023 and 224,638 is: 485,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,023 : 224,638 = 224,638 : x
  2. Step 2: Convert to fraction form
    104,023/224,638 = 224,638/x
  3. Step 3: Cross multiply
    104,023x = 224,638 × 224,638
  4. Step 4: Simplify right side
    104,023x = 50,462,231,044
  5. Step 5: Solve for x
    x = 50,462,231,044/104,023
  6. Step 6: Final answer
    x = 485,106.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.