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Finding the Third Proportional to 116,644 and 244,376

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Solution

The third proportional to 116,644 and 244,376 is: 511,982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,644 : 244,376 = 244,376 : x
  2. Step 2: Convert to fraction form
    116,644/244,376 = 244,376/x
  3. Step 3: Cross multiply
    116,644x = 244,376 × 244,376
  4. Step 4: Simplify right side
    116,644x = 59,719,629,376
  5. Step 5: Solve for x
    x = 59,719,629,376/116,644
  6. Step 6: Final answer
    x = 511,982.01

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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.