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Finding the Third Proportional to 236,262 and 363,143

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Solution

The third proportional to 236,262 and 363,143 is: 558,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,262 : 363,143 = 363,143 : x
  2. Step 2: Convert to fraction form
    236,262/363,143 = 363,143/x
  3. Step 3: Cross multiply
    236,262x = 363,143 × 363,143
  4. Step 4: Simplify right side
    236,262x = 131,872,838,449
  5. Step 5: Solve for x
    x = 131,872,838,449/236,262
  6. Step 6: Final answer
    x = 558,163.56

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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.