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Finding the Third Proportional to 116,972 and 253,383

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Solution

The third proportional to 116,972 and 253,383 is: 548,874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,972 : 253,383 = 253,383 : x
  2. Step 2: Convert to fraction form
    116,972/253,383 = 253,383/x
  3. Step 3: Cross multiply
    116,972x = 253,383 × 253,383
  4. Step 4: Simplify right side
    116,972x = 64,202,944,689
  5. Step 5: Solve for x
    x = 64,202,944,689/116,972
  6. Step 6: Final answer
    x = 548,874.47

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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.