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Finding the Third Proportional to 108,944 and 234,570

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Solution

The third proportional to 108,944 and 234,570 is: 505,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,944 : 234,570 = 234,570 : x
  2. Step 2: Convert to fraction form
    108,944/234,570 = 234,570/x
  3. Step 3: Cross multiply
    108,944x = 234,570 × 234,570
  4. Step 4: Simplify right side
    108,944x = 55,023,084,900
  5. Step 5: Solve for x
    x = 55,023,084,900/108,944
  6. Step 6: Final answer
    x = 505,058.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.