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Finding the Third Proportional to 236,319 and 363,238.50

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Solution

The third proportional to 236,319 and 363,238.50 is: 558,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,319 : 363,238.50 = 363,238.50 : x
  2. Step 2: Convert to fraction form
    236,319/363,238.50 = 363,238.50/x
  3. Step 3: Cross multiply
    236,319x = 363,238.50 × 363,238.50
  4. Step 4: Simplify right side
    236,319x = 131,942,207,882.25
  5. Step 5: Solve for x
    x = 131,942,207,882.25/236,319
  6. Step 6: Final answer
    x = 558,322.47

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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.