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Finding the Third Proportional to 117,284 and 276,584

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Solution

The third proportional to 117,284 and 276,584 is: 652,251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,284 : 276,584 = 276,584 : x
  2. Step 2: Convert to fraction form
    117,284/276,584 = 276,584/x
  3. Step 3: Cross multiply
    117,284x = 276,584 × 276,584
  4. Step 4: Simplify right side
    117,284x = 76,498,709,056
  5. Step 5: Solve for x
    x = 76,498,709,056/117,284
  6. Step 6: Final answer
    x = 652,251.88

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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.