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Finding the Third Proportional to 108,484 and 228,632

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Solution

The third proportional to 108,484 and 228,632 is: 481,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,484 : 228,632 = 228,632 : x
  2. Step 2: Convert to fraction form
    108,484/228,632 = 228,632/x
  3. Step 3: Cross multiply
    108,484x = 228,632 × 228,632
  4. Step 4: Simplify right side
    108,484x = 52,272,591,424
  5. Step 5: Solve for x
    x = 52,272,591,424/108,484
  6. Step 6: Final answer
    x = 481,846.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.