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Finding the Third Proportional to 236,974.50 and 363,381

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Solution

The third proportional to 236,974.50 and 363,381 is: 557,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,974.50 : 363,381 = 363,381 : x
  2. Step 2: Convert to fraction form
    236,974.50/363,381 = 363,381/x
  3. Step 3: Cross multiply
    236,974.50x = 363,381 × 363,381
  4. Step 4: Simplify right side
    236,974.50x = 132,045,751,161
  5. Step 5: Solve for x
    x = 132,045,751,161/236,974.50
  6. Step 6: Final answer
    x = 557,215.02

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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.