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Finding the Third Proportional to 223,492 and 303,702

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Solution

The third proportional to 223,492 and 303,702 is: 412,698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,492 : 303,702 = 303,702 : x
  2. Step 2: Convert to fraction form
    223,492/303,702 = 303,702/x
  3. Step 3: Cross multiply
    223,492x = 303,702 × 303,702
  4. Step 4: Simplify right side
    223,492x = 92,234,904,804
  5. Step 5: Solve for x
    x = 92,234,904,804/223,492
  6. Step 6: Final answer
    x = 412,698.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.