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Finding the Third Proportional to 116,728 and 256,148

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Solution

The third proportional to 116,728 and 256,148 is: 562,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,728 : 256,148 = 256,148 : x
  2. Step 2: Convert to fraction form
    116,728/256,148 = 256,148/x
  3. Step 3: Cross multiply
    116,728x = 256,148 × 256,148
  4. Step 4: Simplify right side
    116,728x = 65,611,797,904
  5. Step 5: Solve for x
    x = 65,611,797,904/116,728
  6. Step 6: Final answer
    x = 562,091.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.