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Finding the Third Proportional to 94,944 and 205,392

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Solution

The third proportional to 94,944 and 205,392 is: 444,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,944 : 205,392 = 205,392 : x
  2. Step 2: Convert to fraction form
    94,944/205,392 = 205,392/x
  3. Step 3: Cross multiply
    94,944x = 205,392 × 205,392
  4. Step 4: Simplify right side
    94,944x = 42,185,873,664
  5. Step 5: Solve for x
    x = 42,185,873,664/94,944
  6. Step 6: Final answer
    x = 444,323.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.