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Finding the Third Proportional to 108,554 and 236,692

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Solution

The third proportional to 108,554 and 236,692 is: 516,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,554 : 236,692 = 236,692 : x
  2. Step 2: Convert to fraction form
    108,554/236,692 = 236,692/x
  3. Step 3: Cross multiply
    108,554x = 236,692 × 236,692
  4. Step 4: Simplify right side
    108,554x = 56,023,102,864
  5. Step 5: Solve for x
    x = 56,023,102,864/108,554
  6. Step 6: Final answer
    x = 516,085.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.