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Finding the Third Proportional to 96,746 and 200,328

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Solution

The third proportional to 96,746 and 200,328 is: 414,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,746 : 200,328 = 200,328 : x
  2. Step 2: Convert to fraction form
    96,746/200,328 = 200,328/x
  3. Step 3: Cross multiply
    96,746x = 200,328 × 200,328
  4. Step 4: Simplify right side
    96,746x = 40,131,307,584
  5. Step 5: Solve for x
    x = 40,131,307,584/96,746
  6. Step 6: Final answer
    x = 414,811.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.