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Finding the Third Proportional to 117,384 and 244,496

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Solution

The third proportional to 117,384 and 244,496 is: 509,254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,384 : 244,496 = 244,496 : x
  2. Step 2: Convert to fraction form
    117,384/244,496 = 244,496/x
  3. Step 3: Cross multiply
    117,384x = 244,496 × 244,496
  4. Step 4: Simplify right side
    117,384x = 59,778,294,016
  5. Step 5: Solve for x
    x = 59,778,294,016/117,384
  6. Step 6: Final answer
    x = 509,254.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.