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Finding the Third Proportional to 236,301 and 363,210

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Solution

The third proportional to 236,301 and 363,210 is: 558,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,301 : 363,210 = 363,210 : x
  2. Step 2: Convert to fraction form
    236,301/363,210 = 363,210/x
  3. Step 3: Cross multiply
    236,301x = 363,210 × 363,210
  4. Step 4: Simplify right side
    236,301x = 131,921,504,100
  5. Step 5: Solve for x
    x = 131,921,504,100/236,301
  6. Step 6: Final answer
    x = 558,277.38

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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.