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Finding the Third Proportional to 236,884 and 351,718

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Solution

The third proportional to 236,884 and 351,718 is: 522,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,884 : 351,718 = 351,718 : x
  2. Step 2: Convert to fraction form
    236,884/351,718 = 351,718/x
  3. Step 3: Cross multiply
    236,884x = 351,718 × 351,718
  4. Step 4: Simplify right side
    236,884x = 123,705,551,524
  5. Step 5: Solve for x
    x = 123,705,551,524/236,884
  6. Step 6: Final answer
    x = 522,219.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.