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Finding the Third Proportional to 228,336 and 363,642

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Solution

The third proportional to 228,336 and 363,642 is: 579,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,336 : 363,642 = 363,642 : x
  2. Step 2: Convert to fraction form
    228,336/363,642 = 363,642/x
  3. Step 3: Cross multiply
    228,336x = 363,642 × 363,642
  4. Step 4: Simplify right side
    228,336x = 132,235,504,164
  5. Step 5: Solve for x
    x = 132,235,504,164/228,336
  6. Step 6: Final answer
    x = 579,126.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.