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Finding the Third Proportional to 117,058 and 276,220

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Solution

The third proportional to 117,058 and 276,220 is: 651,792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,058 : 276,220 = 276,220 : x
  2. Step 2: Convert to fraction form
    117,058/276,220 = 276,220/x
  3. Step 3: Cross multiply
    117,058x = 276,220 × 276,220
  4. Step 4: Simplify right side
    117,058x = 76,297,488,400
  5. Step 5: Solve for x
    x = 76,297,488,400/117,058
  6. Step 6: Final answer
    x = 651,792.17

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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.