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Finding the Third Proportional to 209,072 and 318,525

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Solution

The third proportional to 209,072 and 318,525 is: 485,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,072 : 318,525 = 318,525 : x
  2. Step 2: Convert to fraction form
    209,072/318,525 = 318,525/x
  3. Step 3: Cross multiply
    209,072x = 318,525 × 318,525
  4. Step 4: Simplify right side
    209,072x = 101,458,175,625
  5. Step 5: Solve for x
    x = 101,458,175,625/209,072
  6. Step 6: Final answer
    x = 485,278.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.