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Finding the Third Proportional to 108,574 and 228,812

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Solution

The third proportional to 108,574 and 228,812 is: 482,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,574 : 228,812 = 228,812 : x
  2. Step 2: Convert to fraction form
    108,574/228,812 = 228,812/x
  3. Step 3: Cross multiply
    108,574x = 228,812 × 228,812
  4. Step 4: Simplify right side
    108,574x = 52,354,931,344
  5. Step 5: Solve for x
    x = 52,354,931,344/108,574
  6. Step 6: Final answer
    x = 482,205.05

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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.