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Finding the Third Proportional to 200,920 and 303,418

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Solution

The third proportional to 200,920 and 303,418 is: 458,204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,920 : 303,418 = 303,418 : x
  2. Step 2: Convert to fraction form
    200,920/303,418 = 303,418/x
  3. Step 3: Cross multiply
    200,920x = 303,418 × 303,418
  4. Step 4: Simplify right side
    200,920x = 92,062,482,724
  5. Step 5: Solve for x
    x = 92,062,482,724/200,920
  6. Step 6: Final answer
    x = 458,204.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.