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Finding the Third Proportional to 117,660 and 256,056

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Solution

The third proportional to 117,660 and 256,056 is: 557,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,660 : 256,056 = 256,056 : x
  2. Step 2: Convert to fraction form
    117,660/256,056 = 256,056/x
  3. Step 3: Cross multiply
    117,660x = 256,056 × 256,056
  4. Step 4: Simplify right side
    117,660x = 65,564,675,136
  5. Step 5: Solve for x
    x = 65,564,675,136/117,660
  6. Step 6: Final answer
    x = 557,238.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.