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Finding the Third Proportional to 116,416 and 248,096

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Solution

The third proportional to 116,416 and 248,096 is: 528,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,416 : 248,096 = 248,096 : x
  2. Step 2: Convert to fraction form
    116,416/248,096 = 248,096/x
  3. Step 3: Cross multiply
    116,416x = 248,096 × 248,096
  4. Step 4: Simplify right side
    116,416x = 61,551,625,216
  5. Step 5: Solve for x
    x = 61,551,625,216/116,416
  6. Step 6: Final answer
    x = 528,721.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.