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Finding the Third Proportional to 202,559.50 and 436,519

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Solution

The third proportional to 202,559.50 and 436,519 is: 940,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,559.50 : 436,519 = 436,519 : x
  2. Step 2: Convert to fraction form
    202,559.50/436,519 = 436,519/x
  3. Step 3: Cross multiply
    202,559.50x = 436,519 × 436,519
  4. Step 4: Simplify right side
    202,559.50x = 190,548,837,361
  5. Step 5: Solve for x
    x = 190,548,837,361/202,559.50
  6. Step 6: Final answer
    x = 940,705.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.