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Finding the Third Proportional to 236,317 and 363,236

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Solution

The third proportional to 236,317 and 363,236 is: 558,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,317 : 363,236 = 363,236 : x
  2. Step 2: Convert to fraction form
    236,317/363,236 = 363,236/x
  3. Step 3: Cross multiply
    236,317x = 363,236 × 363,236
  4. Step 4: Simplify right side
    236,317x = 131,940,391,696
  5. Step 5: Solve for x
    x = 131,940,391,696/236,317
  6. Step 6: Final answer
    x = 558,319.51

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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.