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Finding the Third Proportional to 228,084 and 328,546

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Solution

The third proportional to 228,084 and 328,546 is: 473,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,084 : 328,546 = 328,546 : x
  2. Step 2: Convert to fraction form
    228,084/328,546 = 328,546/x
  3. Step 3: Cross multiply
    228,084x = 328,546 × 328,546
  4. Step 4: Simplify right side
    228,084x = 107,942,474,116
  5. Step 5: Solve for x
    x = 107,942,474,116/228,084
  6. Step 6: Final answer
    x = 473,257.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.