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Finding the Third Proportional to 236,320 and 363,242

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Solution

The third proportional to 236,320 and 363,242 is: 558,330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,320 : 363,242 = 363,242 : x
  2. Step 2: Convert to fraction form
    236,320/363,242 = 363,242/x
  3. Step 3: Cross multiply
    236,320x = 363,242 × 363,242
  4. Step 4: Simplify right side
    236,320x = 131,944,750,564
  5. Step 5: Solve for x
    x = 131,944,750,564/236,320
  6. Step 6: Final answer
    x = 558,330.87

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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.