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Finding the Third Proportional to 108,441 and 234,979

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Solution

The third proportional to 108,441 and 234,979 is: 509,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,441 : 234,979 = 234,979 : x
  2. Step 2: Convert to fraction form
    108,441/234,979 = 234,979/x
  3. Step 3: Cross multiply
    108,441x = 234,979 × 234,979
  4. Step 4: Simplify right side
    108,441x = 55,215,130,441
  5. Step 5: Solve for x
    x = 55,215,130,441/108,441
  6. Step 6: Final answer
    x = 509,172.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.