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Finding the Third Proportional to 236,319.50 and 363,239

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Solution

The third proportional to 236,319.50 and 363,239 is: 558,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,319.50 : 363,239 = 363,239 : x
  2. Step 2: Convert to fraction form
    236,319.50/363,239 = 363,239/x
  3. Step 3: Cross multiply
    236,319.50x = 363,239 × 363,239
  4. Step 4: Simplify right side
    236,319.50x = 131,942,571,121
  5. Step 5: Solve for x
    x = 131,942,571,121/236,319.50
  6. Step 6: Final answer
    x = 558,322.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.