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Finding the Third Proportional to 114,531 and 244,281

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Solution

The third proportional to 114,531 and 244,281 is: 521,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,531 : 244,281 = 244,281 : x
  2. Step 2: Convert to fraction form
    114,531/244,281 = 244,281/x
  3. Step 3: Cross multiply
    114,531x = 244,281 × 244,281
  4. Step 4: Simplify right side
    114,531x = 59,673,206,961
  5. Step 5: Solve for x
    x = 59,673,206,961/114,531
  6. Step 6: Final answer
    x = 521,022.32

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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.