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Finding the Third Proportional to 117,085 and 276,299

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Solution

The third proportional to 117,085 and 276,299 is: 652,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,085 : 276,299 = 276,299 : x
  2. Step 2: Convert to fraction form
    117,085/276,299 = 276,299/x
  3. Step 3: Cross multiply
    117,085x = 276,299 × 276,299
  4. Step 4: Simplify right side
    117,085x = 76,341,137,401
  5. Step 5: Solve for x
    x = 76,341,137,401/117,085
  6. Step 6: Final answer
    x = 652,014.67

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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.