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Finding the Third Proportional to 236,983 and 363,392

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Solution

The third proportional to 236,983 and 363,392 is: 557,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,983 : 363,392 = 363,392 : x
  2. Step 2: Convert to fraction form
    236,983/363,392 = 363,392/x
  3. Step 3: Cross multiply
    236,983x = 363,392 × 363,392
  4. Step 4: Simplify right side
    236,983x = 132,053,745,664
  5. Step 5: Solve for x
    x = 132,053,745,664/236,983
  6. Step 6: Final answer
    x = 557,228.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.