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Finding the Third Proportional to 108,997 and 235,194

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Solution

The third proportional to 108,997 and 235,194 is: 507,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,997 : 235,194 = 235,194 : x
  2. Step 2: Convert to fraction form
    108,997/235,194 = 235,194/x
  3. Step 3: Cross multiply
    108,997x = 235,194 × 235,194
  4. Step 4: Simplify right side
    108,997x = 55,316,217,636
  5. Step 5: Solve for x
    x = 55,316,217,636/108,997
  6. Step 6: Final answer
    x = 507,502.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.