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Finding the Third Proportional to 116,736 and 260,688

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Solution

The third proportional to 116,736 and 260,688 is: 582,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,736 : 260,688 = 260,688 : x
  2. Step 2: Convert to fraction form
    116,736/260,688 = 260,688/x
  3. Step 3: Cross multiply
    116,736x = 260,688 × 260,688
  4. Step 4: Simplify right side
    116,736x = 67,958,233,344
  5. Step 5: Solve for x
    x = 67,958,233,344/116,736
  6. Step 6: Final answer
    x = 582,153.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.