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Finding the Third Proportional to 116,717 and 256,127

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Solution

The third proportional to 116,717 and 256,127 is: 562,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,717 : 256,127 = 256,127 : x
  2. Step 2: Convert to fraction form
    116,717/256,127 = 256,127/x
  3. Step 3: Cross multiply
    116,717x = 256,127 × 256,127
  4. Step 4: Simplify right side
    116,717x = 65,601,040,129
  5. Step 5: Solve for x
    x = 65,601,040,129/116,717
  6. Step 6: Final answer
    x = 562,052.14

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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.