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Finding the Third Proportional to 108,943 and 234,569

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Solution

The third proportional to 108,943 and 234,569 is: 505,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,943 : 234,569 = 234,569 : x
  2. Step 2: Convert to fraction form
    108,943/234,569 = 234,569/x
  3. Step 3: Cross multiply
    108,943x = 234,569 × 234,569
  4. Step 4: Simplify right side
    108,943x = 55,022,615,761
  5. Step 5: Solve for x
    x = 55,022,615,761/108,943
  6. Step 6: Final answer
    x = 505,058.75

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Why These Related Problems?

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