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Finding the Third Proportional to 117,091 and 276,317

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Solution

The third proportional to 117,091 and 276,317 is: 652,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,091 : 276,317 = 276,317 : x
  2. Step 2: Convert to fraction form
    117,091/276,317 = 276,317/x
  3. Step 3: Cross multiply
    117,091x = 276,317 × 276,317
  4. Step 4: Simplify right side
    117,091x = 76,351,084,489
  5. Step 5: Solve for x
    x = 76,351,084,489/117,091
  6. Step 6: Final answer
    x = 652,066.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.