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Finding the Third Proportional to 108,388 and 228,584

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Solution

The third proportional to 108,388 and 228,584 is: 482,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,388 : 228,584 = 228,584 : x
  2. Step 2: Convert to fraction form
    108,388/228,584 = 228,584/x
  3. Step 3: Cross multiply
    108,388x = 228,584 × 228,584
  4. Step 4: Simplify right side
    108,388x = 52,250,645,056
  5. Step 5: Solve for x
    x = 52,250,645,056/108,388
  6. Step 6: Final answer
    x = 482,070.39

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