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Finding the Third Proportional to 108,712 and 236,722

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Solution

The third proportional to 108,712 and 236,722 is: 515,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,712 : 236,722 = 236,722 : x
  2. Step 2: Convert to fraction form
    108,712/236,722 = 236,722/x
  3. Step 3: Cross multiply
    108,712x = 236,722 × 236,722
  4. Step 4: Simplify right side
    108,712x = 56,037,305,284
  5. Step 5: Solve for x
    x = 56,037,305,284/108,712
  6. Step 6: Final answer
    x = 515,465.68

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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.