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Finding the Third Proportional to 116,646 and 244,380

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Solution

The third proportional to 116,646 and 244,380 is: 511,989.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,646 : 244,380 = 244,380 : x
  2. Step 2: Convert to fraction form
    116,646/244,380 = 244,380/x
  3. Step 3: Cross multiply
    116,646x = 244,380 × 244,380
  4. Step 4: Simplify right side
    116,646x = 59,721,584,400
  5. Step 5: Solve for x
    x = 59,721,584,400/116,646
  6. Step 6: Final answer
    x = 511,989.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.