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Finding the Third Proportional to 104,942 and 224,842

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Solution

The third proportional to 104,942 and 224,842 is: 481,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,942 : 224,842 = 224,842 : x
  2. Step 2: Convert to fraction form
    104,942/224,842 = 224,842/x
  3. Step 3: Cross multiply
    104,942x = 224,842 × 224,842
  4. Step 4: Simplify right side
    104,942x = 50,553,924,964
  5. Step 5: Solve for x
    x = 50,553,924,964/104,942
  6. Step 6: Final answer
    x = 481,732.05

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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.