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Finding the Third Proportional to 236,985 and 363,395

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Solution

The third proportional to 236,985 and 363,395 is: 557,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,985 : 363,395 = 363,395 : x
  2. Step 2: Convert to fraction form
    236,985/363,395 = 363,395/x
  3. Step 3: Cross multiply
    236,985x = 363,395 × 363,395
  4. Step 4: Simplify right side
    236,985x = 132,055,926,025
  5. Step 5: Solve for x
    x = 132,055,926,025/236,985
  6. Step 6: Final answer
    x = 557,233.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.