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Finding the Third Proportional to 228,728 and 355,548

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Solution

The third proportional to 228,728 and 355,548 is: 552,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,728 : 355,548 = 355,548 : x
  2. Step 2: Convert to fraction form
    228,728/355,548 = 355,548/x
  3. Step 3: Cross multiply
    228,728x = 355,548 × 355,548
  4. Step 4: Simplify right side
    228,728x = 126,414,380,304
  5. Step 5: Solve for x
    x = 126,414,380,304/228,728
  6. Step 6: Final answer
    x = 552,684.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.