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Finding the Third Proportional to 86,944 and 190,496

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Solution

The third proportional to 86,944 and 190,496 is: 417,380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,944 : 190,496 = 190,496 : x
  2. Step 2: Convert to fraction form
    86,944/190,496 = 190,496/x
  3. Step 3: Cross multiply
    86,944x = 190,496 × 190,496
  4. Step 4: Simplify right side
    86,944x = 36,288,726,016
  5. Step 5: Solve for x
    x = 36,288,726,016/86,944
  6. Step 6: Final answer
    x = 417,380.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.