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Finding the Third Proportional to 108,584 and 228,832

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Solution

The third proportional to 108,584 and 228,832 is: 482,244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,584 : 228,832 = 228,832 : x
  2. Step 2: Convert to fraction form
    108,584/228,832 = 228,832/x
  3. Step 3: Cross multiply
    108,584x = 228,832 × 228,832
  4. Step 4: Simplify right side
    108,584x = 52,364,084,224
  5. Step 5: Solve for x
    x = 52,364,084,224/108,584
  6. Step 6: Final answer
    x = 482,244.94

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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.