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Finding the Third Proportional to 108,982 and 233,516

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Solution

The third proportional to 108,982 and 233,516 is: 500,355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,982 : 233,516 = 233,516 : x
  2. Step 2: Convert to fraction form
    108,982/233,516 = 233,516/x
  3. Step 3: Cross multiply
    108,982x = 233,516 × 233,516
  4. Step 4: Simplify right side
    108,982x = 54,529,722,256
  5. Step 5: Solve for x
    x = 54,529,722,256/108,982
  6. Step 6: Final answer
    x = 500,355.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.