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Finding the Third Proportional to 117,005.50 and 276,111

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Solution

The third proportional to 117,005.50 and 276,111 is: 651,570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,005.50 : 276,111 = 276,111 : x
  2. Step 2: Convert to fraction form
    117,005.50/276,111 = 276,111/x
  3. Step 3: Cross multiply
    117,005.50x = 276,111 × 276,111
  4. Step 4: Simplify right side
    117,005.50x = 76,237,284,321
  5. Step 5: Solve for x
    x = 76,237,284,321/117,005.50
  6. Step 6: Final answer
    x = 651,570.09

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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.